256478575392 has 384 divisors, whose sum is σ = 835773603840. Its totient is φ = 75987072000.

The previous prime is 256478575363. The next prime is 256478575417. The reversal of 256478575392 is 293575874652.

256478575392 is a `hidden beast` number, since 2 + 5 + 6 + 47 + 8 + 57 + 539 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73466767 + ... + 73470257.

It is an arithmetic number, because the mean of its divisors is an integer number (2176493760).

Almost surely, 2^256478575392 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 256478575392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417886801920).

256478575392 is an abundant number, since it is smaller than the sum of its proper divisors (579295028448).

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

256478575392 is a wasteful number, since it uses less digits than its factorization.

256478575392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765 (or 3751 counting only the distinct ones).

The product of its digits is 127008000, while the sum is 63.

The spelling of 256478575392 in words is "two hundred fifty-six billion, four hundred seventy-eight million, five hundred seventy-five thousand, three hundred ninety-two".