Actually it's a LOT more than that, since each of the 5 colors has 128 possible values. There's some duplication (same color slot, trivial rotations and reflections and such) but I think the order of magnitude is probably "cluster of galaxies" at a minimum :-)
Wow, that increases it by a lot; it's much, much heavier than the mass of the visible universe [0]. Universe is ~1e50 kg, the marketing exec's request was ~1e500kg. Now you can go back in time and tell them just how wrong they are ;)