56616537600 has 1200 divisors, whose sum is σ = 248655290400. Its totient is φ = 12448235520.

The previous prime is 56616537599. The next prime is 56616537619. The reversal of 56616537600 is 673561665.

56616537600 is a `hidden beast` number, since 5 + 6 + 6 + 1 + 6 + 5 + 37 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 210470266 + ... + 210470534.

It is an arithmetic number, because the mean of its divisors is an integer number (207212742).

Almost surely, 2^56616537600 is an apocalyptic number.

56616537600 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 56616537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124327645200).

56616537600 is an abundant number, since it is smaller than the sum of its proper divisors (192038752800).

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

56616537600 is a wasteful number, since it uses less digits than its factorization.

56616537600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 56616537600 in words is "fifty-six billion, six hundred sixteen million, five hundred thirty-seven thousand, six hundred".