256990962751200 has 432 divisors, whose sum is σ = 989239885845120. Its totient is φ = 64924031761920.

The previous prime is 256990962751177. The next prime is 256990962751241. The reversal of 256990962751200 is 2157269099652.

256990962751200 is a `hidden beast` number, since 2 + 5 + 6 + 9 + 9 + 0 + 96 + 27 + 512 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31095084 + ... + 38482283.

It is an arithmetic number, because the mean of its divisors is an integer number (2289907143160).

Almost surely, 2^{256990962751200} is an apocalyptic number.

256990962751200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256990962751200 is an abundant number, since it is smaller than the sum of its proper divisors (732248923093920).

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

256990962751200 is a wasteful number, since it uses less digits than its factorization.

256990962751200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69577421 (or 69577396 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 256990962751200 in words is "two hundred fifty-six trillion, nine hundred ninety billion, nine hundred sixty-two million, seven hundred fifty-one thousand, two hundred".