256907625137856 has 2520 divisors, whose sum is σ = 1026602602790688. Its totient is φ = 62157437337600.

The previous prime is 256907625137809. The next prime is 256907625137861. The reversal of 256907625137856 is 658731526709652.

256907625137856 is a `hidden beast` number, since 2 + 5 + 6 + 90 + 76 + 2 + 51 + 378 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 96690862480 + ... + 96690865136.

Almost surely, 2^{256907625137856} 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 256907625137856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513301301395344).

256907625137856 is an abundant number, since it is smaller than the sum of its proper divisors (769694977652832).

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

256907625137856 is a wasteful number, since it uses less digits than its factorization.

256907625137856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 256907625137856 in words is "two hundred fifty-six trillion, nine hundred seven billion, six hundred twenty-five million, one hundred thirty-seven thousand, eight hundred fifty-six".