256734214025760 has 144 divisors (see below), whose sum is σ = 876109656449664. Its totient is φ = 68462132691456.

The previous prime is 256734214025759. The next prime is 256734214025813. The reversal of 256734214025760 is 67520412437652.

256734214025760 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 3 + 4 + 21 + 40 + 2 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 256734214025697 and 256734214025706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 592808659 + ... + 593241581.

It is an arithmetic number, because the mean of its divisors is an integer number (6084094836456).

Almost surely, 2^{256734214025760} is an apocalyptic number.

256734214025760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256734214025760 is an abundant number, since it is smaller than the sum of its proper divisors (619375442423904).

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

256734214025760 is a wasteful number, since it uses less digits than its factorization.

256734214025760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844767 (or 844756 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 256734214025760 in words is "two hundred fifty-six trillion, seven hundred thirty-four billion, two hundred fourteen million, twenty-five thousand, seven hundred sixty".