56813121168 has 320 divisors, whose sum is σ = 172846080000. Its totient is φ = 15955107840.

The previous prime is 56813121067. The next prime is 56813121191. The reversal of 56813121168 is 86112131865.

56813121168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20665458 + ... + 20668206.

It is an arithmetic number, because the mean of its divisors is an integer number (540144000).

Almost surely, 2^56813121168 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 56813121168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86423040000).

56813121168 is an abundant number, since it is smaller than the sum of its proper divisors (116032958832).

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

56813121168 is a wasteful number, since it uses less digits than its factorization.

56813121168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2864 counting only the distinct ones).

The product of its digits is 69120, while the sum is 42.

The spelling of 56813121168 in words is "fifty-six billion, eight hundred thirteen million, one hundred twenty-one thousand, one hundred sixty-eight".