256637153696 has 192 divisors, whose sum is σ = 652367520000. Its totient is φ = 96434257920.

The previous prime is 256637153681. The next prime is 256637153699. The reversal of 256637153696 is 696351736652.

It is not an unprimeable number, because it can be changed into a prime (256637153699) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100680230 + ... + 100682778.

It is an arithmetic number, because the mean of its divisors is an integer number (3397747500).

Almost surely, 2^256637153696 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 256637153696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326183760000).

256637153696 is an abundant number, since it is smaller than the sum of its proper divisors (395730366304).

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

256637153696 is a wasteful number, since it uses less digits than its factorization.

256637153696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4015 (or 4007 counting only the distinct ones).

The product of its digits is 36741600, while the sum is 59.

The spelling of 256637153696 in words is "two hundred fifty-six billion, six hundred thirty-seven million, one hundred fifty-three thousand, six hundred ninety-six".