56117145600 has 312 divisors, whose sum is σ = 206163538320. Its totient is φ = 14963834880.

The previous prime is 56117145583. The next prime is 56117145619. The reversal of 56117145600 is 654171165.

It is a happy number.

56117145600 is a `hidden beast` number, since 5 + 6 + 1 + 1 + 7 + 1 + 45 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 2754652 + ... + 2774948.

Almost surely, 2^56117145600 is an apocalyptic number.

56117145600 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 56117145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103081769160).

56117145600 is an abundant number, since it is smaller than the sum of its proper divisors (150046392720).

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

56117145600 is a wasteful number, since it uses less digits than its factorization.

56117145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20340 (or 20307 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 56117145600 in words is "fifty-six billion, one hundred seventeen million, one hundred forty-five thousand, six hundred".