At first I thought, and don't see why this couldn't be, a scanner that eats through documents and saves a digital copy of them. This form factor would make digitizing large sets of printed records much more appealing.
I scan all my receipts and incoming mail, I doubt you would even be able to make a stable "tower" of these things. It probably only works with new paper. One of my first thoughts was also that leaving the paper open in the free would result in a lot of dust collecting on it.
I've been moving to do the exact same thing at home, to get rid of all that paper clutter. If you don't mind me asking, what scanner do you use - presumably one with an auto document feeder?
Hopefully not the Xerox scanner that can alter the documents.