56914995600 has 480 divisors, whose sum is σ = 210786508800. Its totient is φ = 14570150400.

The previous prime is 56914995593. The next prime is 56914995611. The reversal of 56914995600 is 659941965.

56914995600 is a `hidden beast` number, since 5 + 6 + 91 + 499 + 5 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46536589 + ... + 46537811.

It is an arithmetic number, because the mean of its divisors is an integer number (439138560).

Almost surely, 2^56914995600 is an apocalyptic number.

56914995600 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 56914995600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105393254400).

56914995600 is an abundant number, since it is smaller than the sum of its proper divisors (153871513200).

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

56914995600 is a wasteful number, since it uses less digits than its factorization.

56914995600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 56914995600 in words is "fifty-six billion, nine hundred fourteen million, nine hundred ninety-five thousand, six hundred".