56988518400 has 432 divisors, whose sum is σ = 222669654480. Its totient is φ = 13814169600.

The previous prime is 56988518351. The next prime is 56988518423. The reversal of 56988518400 is 481588965.

It is a happy number.

56988518400 is a `hidden beast` number, since 5 + 6 + 9 + 88 + 518 + 40 + 0 = 666.

It is a super-3 number, since 3×56988518400³ (a number of 33 digits) contains 333 as substring.

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 35 ways as a sum of consecutive naturals, for example, 5063179 + ... + 5074421.

It is an arithmetic number, because the mean of its divisors is an integer number (515439015).

Almost surely, 2^56988518400 is an apocalyptic number.

56988518400 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 56988518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111334827240).

56988518400 is an abundant number, since it is smaller than the sum of its proper divisors (165681136080).

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

56988518400 is a wasteful number, since it uses less digits than its factorization.

56988518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11292 (or 11264 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 56988518400 in words is "fifty-six billion, nine hundred eighty-eight million, five hundred eighteen thousand, four hundred".