256911879168 has 352 divisors, whose sum is σ = 871208440320. Its totient is φ = 73262776320.

The previous prime is 256911879157. The next prime is 256911879223. The reversal of 256911879168 is 861978119652.

256911879168 is a `hidden beast` number, since 2 + 569 + 1 + 1 + 8 + 7 + 9 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141860983 + ... + 141862793.

Almost surely, 2^256911879168 is an apocalyptic number.

256911879168 is a gapful number since it is divisible by the number (28) 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 256911879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435604220160).

256911879168 is an abundant number, since it is smaller than the sum of its proper divisors (614296561152).

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

256911879168 is a wasteful number, since it uses less digits than its factorization.

256911879168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 2556 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 63.

The spelling of 256911879168 in words is "two hundred fifty-six billion, nine hundred eleven million, eight hundred seventy-nine thousand, one hundred sixty-eight".