Ever played Rachmaninoff's Prelude in C# minor? 4 well separated simultaneous note groups in a couple of places. That makes it theoretically impossible to play...
But it is accessible to amateurs, and sounds very impressive. Which is, as you noted, a good reason why it's so popular. It's a good piece to pull out when you want to show off.
Can't they make the piano keys a little smaller (narrower)?
Edit: see https://en.wikipedia.org/wiki/Musical_keyboard#Size_and_hist...
http://books.google.com/books?id=IbZOJIpgnNwC&printsec=front...
Thing is, players with broad fingers have trouble negotiating between black keys as it is now.