56518800 has 120 divisors (see below), whose sum is σ = 195029184. Its totient is φ = 13908480.

The previous prime is 56518741. The next prime is 56518801. The reversal of 56518800 is 881565.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (56518801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13789 + ... + 17411.

Almost surely, 2^56518800 is an apocalyptic number.

56518800 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 56518800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97514592).

56518800 is an abundant number, since it is smaller than the sum of its proper divisors (138510384).

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

56518800 is a wasteful number, since it uses less digits than its factorization.

56518800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 56518800 is about 7517.8986425729. The cubic root of 56518800 is about 383.7640694831.

The spelling of 56518800 in words is "fifty-six million, five hundred eighteen thousand, eight hundred".