256789755904 has 96 divisors (see below), whose sum is σ = 560516785920. Its totient is φ = 116642406400.

The previous prime is 256789755899. The next prime is 256789755907. The reversal of 256789755904 is 409557987652.

It is a self number, because there is not a number n which added to its sum of digits gives 256789755904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256789755907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43498617 + ... + 43504519.

It is an arithmetic number, because the mean of its divisors is an integer number (5838716520).

Almost surely, 2^256789755904 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 256789755904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280258392960).

256789755904 is an abundant number, since it is smaller than the sum of its proper divisors (303727030016).

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

256789755904 is a wasteful number, since it uses less digits than its factorization.

256789755904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7867 (or 7847 counting only the distinct ones).

The product of its (nonzero) digits is 190512000, while the sum is 67.

The spelling of 256789755904 in words is "two hundred fifty-six billion, seven hundred eighty-nine million, seven hundred fifty-five thousand, nine hundred four".