56164840992 has 384 divisors, whose sum is σ = 188606880000. Its totient is φ = 16107061248.

The previous prime is 56164840987. The next prime is 56164841017. The reversal of 56164840992 is 29904846165.

56164840992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×56164840992³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 20429634 + ... + 20432382.

It is an arithmetic number, because the mean of its divisors is an integer number (491163750).

Almost surely, 2^56164840992 is an apocalyptic number.

56164840992 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56164840992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94303440000).

56164840992 is an abundant number, since it is smaller than the sum of its proper divisors (132442039008).

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

56164840992 is a wasteful number, since it uses less digits than its factorization.

56164840992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 56164840992 in words is "fifty-six billion, one hundred sixty-four million, eight hundred forty thousand, nine hundred ninety-two".