Paper ? It's possible to print binary data on paper now. I'm not sure at what 5TB would look like though. It's probably better to keep the data at hand and migrate it as the world and the technology evolve.
use 1200 dpi printer to print b/w dots this gives: 8.3 * 11.7 * 1200 * 1200 bits/page = 17 MB/page
5 TB are 142 Books with 1000 pages double sided each (size of a small personal library)
case closed.
A4 page, which has 210x297mm, say a border of 10mm all around non-printable area, gives 190x277.
Say we print at a resolution of 0.5mm, and in 16 shades, so we get 4x4 = 16 bits per mm, or 2 bytes. That gives 105,260 bytes per page. Probably we can squeeze more bytes in than this, but let's allocate those to redundancy and error correcting codes.
So for 5TB (in hard drive size, 5e12) would take about 23.75 million sheets of paper printed on both sides. At 5g per sheet, that's about 119 metric tons.
1 ream (500 pages) of the 75g/m^2 A4 paper I have beside my printer here is about 50mm thick. Say 215x305x55mm including some slack for packaging, is a little over 3.6 litres in volume; total volume for 23.75 million sheets is 171,285 litres, or 171.285 cubic metres.
A room with a ceiling height of 3 metres would need to be only 8 meters on each side to store this. Of course, the room shouldn't have any windows and should be at the appropriate humidity, etc.
The cost of the paper, assuming $5 per 500 pages, is less than a quarter of a million. Much more forbidding is the labour and temporary acquisition of printers required to transcribe the data to paper. A good printer @50ppm would take nearly 2 years, assuming zero downtime and very quick paper and toner changes. To do it in more reasonable time and with more reliability, you'd want a bunch more printers; and of course, you'd need to hire the people to do the work of shuffling paper and carting it around, but I'd bet you could probably do it for less than the cost of the paper, particularly if you did it in a cheap labour country.
size of one pixel: 0.5mm * 0.5mm= 0.25 mm2
1 page can then hold: 52630/0.25 = 210520 pixel
1 pixel is 2 byte thus 1 page is 421040 byte is about 0.5 MB/page (or 1 MB if you print double sided)
5 TB= 5000 GB = 5,000,000 MB = 5 Million pages
this is 5000 books with 1000 pages each.
I intentionally chose a pretty big pixel for redundancy reasons rather than trying to be clever and working out a code etc., but the link in the reply to my post looks more worked out.