256100774688 has 216 divisors, whose sum is σ = 808006543344. Its totient is φ = 76879883520.

The previous prime is 256100774653. The next prime is 256100774729. The reversal of 256100774688 is 886477001652.

256100774688 is a `hidden beast` number, since 2 + 5 + 6 + 100 + 77 + 468 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3694395 + ... + 3763077.

It is an arithmetic number, because the mean of its divisors is an integer number (3740771034).

Almost surely, 2^256100774688 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 256100774688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404003271672).

256100774688 is an abundant number, since it is smaller than the sum of its proper divisors (551905768656).

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

256100774688 is a wasteful number, since it uses less digits than its factorization.

256100774688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68828 (or 68806 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 256100774688 in words is "two hundred fifty-six billion, one hundred million, seven hundred seventy-four thousand, six hundred eighty-eight".