56600174400 has 1008 divisors, whose sum is σ = 238871711232. Its totient is φ = 11601408000.

The previous prime is 56600174399. The next prime is 56600174401. The reversal of 56600174400 is 447100665.

It is an interprime number because it is at equal distance from previous prime (56600174399) and next prime (56600174401).

It is a super-2 number, since 2×56600174400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56600174401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 338923117 + ... + 338923283.

It is an arithmetic number, because the mean of its divisors is an integer number (236975904).

Almost surely, 2^56600174400 is an apocalyptic number.

56600174400 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 56600174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119435855616).

56600174400 is an abundant number, since it is smaller than the sum of its proper divisors (182271536832).

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

56600174400 is a wasteful number, since it uses less digits than its factorization.

56600174400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 56600174400 in words is "fifty-six billion, six hundred million, one hundred seventy-four thousand, four hundred".