56516160 has 112 divisors (see below), whose sum is σ = 190048896. Its totient is φ = 14180352.

The previous prime is 56516113. The next prime is 56516167. The reversal of 56516160 is 6161565.

56516160 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-2 number, since 2×56516160² = 6388152682291200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56516167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14589 + ... + 18051.

Almost surely, 2^56516160 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 56516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95024448).

56516160 is an abundant number, since it is smaller than the sum of its proper divisors (133532736).

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

56516160 is a wasteful number, since it uses less digits than its factorization.

56516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 56516160 is about 7517.7230595440. The cubic root of 56516160 is about 383.7580941680.

It can be divided in two parts, 5651 and 6160, that added together give a palindrome (11811).

The spelling of 56516160 in words is "fifty-six million, five hundred sixteen thousand, one hundred sixty".