204912532408320 has 2688 divisors, whose sum is σ = 857248012333440. Its totient is φ = 46438023168000.

The previous prime is 204912532408289. The next prime is 204912532408327. The reversal of 204912532408320 is 23804235219402.

204912532408320 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 12 + 532 + 4 + 0 + 83 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (204912532408327) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 252666500715 + ... + 252666501525.

It is an arithmetic number, because the mean of its divisors is an integer number (318916671255).

Almost surely, 2^{204912532408320} is an apocalyptic number.

204912532408320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204912532408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428624006166720).

204912532408320 is an abundant number, since it is smaller than the sum of its proper divisors (652335479925120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204912532408320 is a wasteful number, since it uses less digits than its factorization.

204912532408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 204912532408320 in words is "two hundred four trillion, nine hundred twelve billion, five hundred thirty-two million, four hundred eight thousand, three hundred twenty".