256084250976 has 96 divisors (see below), whose sum is σ = 747481996800. Its totient is φ = 85296320640.

The previous prime is 256084250953. The next prime is 256084251029. The reversal of 256084250976 is 679052480652.

256084250976 is a `hidden beast` number, since 2 + 5 + 60 + 8 + 4 + 2 + 509 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027261 + ... + 1251971.

It is an arithmetic number, because the mean of its divisors is an integer number (7786270800).

Almost surely, 2^256084250976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256084250976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373740998400).

256084250976 is an abundant number, since it is smaller than the sum of its proper divisors (491397745824).

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

256084250976 is a wasteful number, since it uses less digits than its factorization.

256084250976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226049 (or 226035 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 256084250976 in words is "two hundred fifty-six billion, eighty-four million, two hundred fifty thousand, nine hundred seventy-six".