256877113920 has 336 divisors, whose sum is σ = 962116610688. Its totient is φ = 57887047680.

The previous prime is 256877113891. The next prime is 256877113931. The reversal of 256877113920 is 29311778652.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3301384 + ... + 3378296.

Almost surely, 2^256877113920 is an apocalyptic number.

256877113920 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 256877113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481058305344).

256877113920 is an abundant number, since it is smaller than the sum of its proper divisors (705239496768).

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

256877113920 is a wasteful number, since it uses less digits than its factorization.

256877113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77018 (or 77001 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 256877113920 in words is "two hundred fifty-six billion, eight hundred seventy-seven million, one hundred thirteen thousand, nine hundred twenty".