I was fiddling around with some idle calculations when I started to wonder how high you could stack Legos before they would deform (ignoring, of course, stability and all other forces but compression). I can't find any quoted spec of the compressive strength of Lego blocks, but they're apparently made from
Acrylonitrile butadiene styrene (ABS), which is listed as having a compression strength of 9000 psi. If we ignore subtleties and just use this number, I figure the total weight (above the base) has to be about 850 lbs, translating into roughly 308,000 blocks, giving a height of about 9,600 feet.
Since I'm relying on info I had to track down through some pretty obscure sites, and in particular a material compression force rather than a structural one, I take zero responsibility for the accuracy of any of these figures.