256710496896 has 768 divisors, whose sum is σ = 938120601600. Its totient is φ = 65691648000.

The previous prime is 256710496883. The next prime is 256710496921. The reversal of 256710496896 is 698694017652.

256710496896 is a `hidden beast` number, since 2 + 5 + 67 + 1 + 0 + 496 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 341824521 + ... + 341825271.

It is an arithmetic number, because the mean of its divisors is an integer number (1221511200).

Almost surely, 2^256710496896 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 256710496896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469060300800).

256710496896 is an abundant number, since it is smaller than the sum of its proper divisors (681410104704).

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

256710496896 is a wasteful number, since it uses less digits than its factorization.

256710496896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 256710496896 in words is "two hundred fifty-six billion, seven hundred ten million, four hundred ninety-six thousand, eight hundred ninety-six".