56116400 has 60 divisors (see below), whose sum is σ = 137415312. Its totient is φ = 22014720.

The previous prime is 56116399. The next prime is 56116409. The reversal of 56116400 is 461165.

It is not an unprimeable number, because it can be changed into a prime (56116409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19877 + ... + 22523.

Almost surely, 2^56116400 is an apocalyptic number.

56116400 is a gapful number since it is divisible by the number (50) 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 56116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68707656).

56116400 is an abundant number, since it is smaller than the sum of its proper divisors (81298912).

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

56116400 is a wasteful number, since it uses less digits than its factorization.

56116400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 56116400 is about 7491.0880384628. The cubic root of 56116400 is about 382.8511307121.

Adding to 56116400 its reverse (461165), we get a palindrome (56577565).

It can be divided in two parts, 561 and 16400, that added together give a palindrome (16961).

The spelling of 56116400 in words is "fifty-six million, one hundred sixteen thousand, four hundred".