57000 Yen is definitely the Park Hyatt. The Century Hyatt you can get for half that, at least. If I had the three nights (2 FFN + 1 paid), I'd stay there, since it becomes about 20000 Yen per night. This would be excellent for the PHT, and I couldn't pass up on such a deal
If you are into high end hotel experiences, this is one of the top places in the planet to satisfy your craving. Some people don't go for that, so if you consider a hotel a place to sleep (along the lines of people who consider a car an appliance to take you from A to B) then head on to Taipei. I heard the Hyatt there is quite nice. If you are into hedonism and living large, 20000 a night at the PHT is an absolute bargain.