56856088605312 has 256 divisors, whose sum is σ = 169160290358400. Its totient is φ = 18799025356800.

The previous prime is 56856088605307. The next prime is 56856088605317. The reversal of 56856088605312 is 21350688065865.

56856088605312 is a `hidden beast` number, since 5 + 6 + 8 + 5 + 6 + 0 + 8 + 8 + 605 + 3 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (56856088605307) and next prime (56856088605317).

It is a super-2 number, since 2×56856088605312² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56856088605312.

It is not an unprimeable number, because it can be changed into a prime (56856088605317) 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, 1067072112 + ... + 1067125392.

Almost surely, 2^{56856088605312} 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 56856088605312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84580145179200).

56856088605312 is an abundant number, since it is smaller than the sum of its proper divisors (112304201753088).

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

56856088605312 is a wasteful number, since it uses less digits than its factorization.

56856088605312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55792 (or 55774 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 56856088605312 in words is "fifty-six trillion, eight hundred fifty-six billion, eighty-eight million, six hundred five thousand, three hundred twelve".