56187237600 has 504 divisors, whose sum is σ = 221506182072. Its totient is φ = 13828838400.

The previous prime is 56187237563. The next prime is 56187237607. The reversal of 56187237600 is 673278165.

56187237600 is a `hidden beast` number, since 5 + 6 + 1 + 8 + 7 + 2 + 37 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56187237607) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7577895 + ... + 7585305.

It is an arithmetic number, because the mean of its divisors is an integer number (439496393).

Almost surely, 2^56187237600 is an apocalyptic number.

56187237600 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 56187237600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110753091036).

56187237600 is an abundant number, since it is smaller than the sum of its proper divisors (165318944472).

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

56187237600 is a wasteful number, since it uses less digits than its factorization.

56187237600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7462 (or 7434 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 56187237600 in words is "fifty-six billion, one hundred eighty-seven million, two hundred thirty-seven thousand, six hundred".