256979520000 has 1200 divisors, whose sum is σ = 1107554469120. Its totient is φ = 58641408000.

The previous prime is 256979519977. The next prime is 256979520013. The reversal of 256979520000 is 25979652.

256979520000 is a `hidden beast` number, since 2 + 56 + 9 + 79 + 520 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 423359697 + ... + 423360303.

Almost surely, 2^256979520000 is an apocalyptic number.

256979520000 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 256979520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553777234560).

256979520000 is an abundant number, since it is smaller than the sum of its proper divisors (850574949120).

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

256979520000 is an frugal number, since it uses more digits than its factorization.

256979520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 256979520000 in words is "two hundred fifty-six billion, nine hundred seventy-nine million, five hundred twenty thousand".