56358120 has 192 divisors, whose sum is σ = 209761920. Its totient is φ = 11860992.

The previous prime is 56358109. The next prime is 56358163. The reversal of 56358120 is 2185365.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141762 + ... + 142158.

It is an arithmetic number, because the mean of its divisors is an integer number (1092510).

Almost surely, 2^56358120 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 56358120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104880960).

56358120 is an abundant number, since it is smaller than the sum of its proper divisors (153403800).

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

56358120 is a wasteful number, since it uses less digits than its factorization.

56358120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 56358120 is about 7507.2045396406. The cubic root of 56358120 is about 383.4000505593.

The spelling of 56358120 in words is "fifty-six million, three hundred fifty-eight thousand, one hundred twenty".