56518880 has 96 divisors (see below), whose sum is σ = 154314720. Its totient is φ = 19333120.

The previous prime is 56518867. The next prime is 56518909. The reversal of 56518880 is 8881565.

56518880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 28976 + ... + 30864.

It is an arithmetic number, because the mean of its divisors is an integer number (1607445).

Almost surely, 2^56518880 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 56518880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77157360).

56518880 is an abundant number, since it is smaller than the sum of its proper divisors (97795840).

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

56518880 is a wasteful number, since it uses less digits than its factorization.

56518880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 41.

The square root of 56518880 is about 7517.9039632068. The cubic root of 56518880 is about 383.7642505504.

The spelling of 56518880 in words is "fifty-six million, five hundred eighteen thousand, eight hundred eighty".