256581292032 has 1040 divisors, whose sum is σ = 905796165120. Its totient is φ = 71663616000.

The previous prime is 256581292021. The next prime is 256581292109. The reversal of 256581292032 is 230292185652.

256581292032 is a `hidden beast` number, since 2 + 565 + 81 + 2 + 9 + 2 + 0 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2540408782 + ... + 2540408882.

Almost surely, 2^256581292032 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 256581292032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452898082560).

256581292032 is an abundant number, since it is smaller than the sum of its proper divisors (649214873088).

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

256581292032 is a wasteful number, since it uses less digits than its factorization.

256581292032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 256581292032 in words is "two hundred fifty-six billion, five hundred eighty-one million, two hundred ninety-two thousand, thirty-two".