56354875200 has 1260 divisors, whose sum is σ = 234331751808. Its totient is φ = 13262745600.

The previous prime is 56354875177. The next prime is 56354875207. The reversal of 56354875200 is 257845365.

56354875200 is a `hidden beast` number, since 5 + 635 + 4 + 8 + 7 + 5 + 2 + 0 + 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 (56354875207) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 678974359 + ... + 678974441.

Almost surely, 2^56354875200 is an apocalyptic number.

56354875200 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 56354875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117165875904).

56354875200 is an abundant number, since it is smaller than the sum of its proper divisors (177976876608).

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

56354875200 is a wasteful number, since it uses less digits than its factorization.

56354875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 56354875200 in words is "fifty-six billion, three hundred fifty-four million, eight hundred seventy-five thousand, two hundred".