56091084092160 has 1152 divisors, whose sum is σ = 209327642496000. Its totient is φ = 12681593487360.

The previous prime is 56091084092143. The next prime is 56091084092209. The reversal of 56091084092160 is 6129048019065.

It is a super-2 number, since 2×56091084092160² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6338687416 + ... + 6338696264.

It is an arithmetic number, because the mean of its divisors is an integer number (181708023000).

Almost surely, 2^{56091084092160} 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 56091084092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104663821248000).

56091084092160 is an abundant number, since it is smaller than the sum of its proper divisors (153236558403840).

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

56091084092160 is a wasteful number, since it uses less digits than its factorization.

56091084092160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9109 (or 9095 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 56091084092160 in words is "fifty-six trillion, ninety-one billion, eighty-four million, ninety-two thousand, one hundred sixty".