56174745600 has 864 divisors, whose sum is σ = 218154474720. Its totient is φ = 13762560000.

The previous prime is 56174745581. The next prime is 56174745607. The reversal of 56174745600 is 654747165.

56174745600 is a `hidden beast` number, since 5 + 6 + 17 + 4 + 74 + 560 + 0 = 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 (56174745607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 556185550 + ... + 556185650.

It is an arithmetic number, because the mean of its divisors is an integer number (252493605).

Almost surely, 2^56174745600 is an apocalyptic number.

56174745600 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 56174745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109077237360).

56174745600 is an abundant number, since it is smaller than the sum of its proper divisors (161979729120).

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

56174745600 is a wasteful number, since it uses less digits than its factorization.

56174745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 56174745600 in words is "fifty-six billion, one hundred seventy-four million, seven hundred forty-five thousand, six hundred".