56832595200 has 324 divisors, whose sum is σ = 212028616800. Its totient is φ = 14496092160.

The previous prime is 56832595189. The next prime is 56832595247. The reversal of 56832595200 is 259523865.

56832595200 is a `hidden beast` number, since 5 + 6 + 8 + 32 + 595 + 20 + 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 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 35 ways as a sum of consecutive naturals, for example, 1303351 + ... + 1346249.

Almost surely, 2^56832595200 is an apocalyptic number.

56832595200 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 56832595200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106014308400).

56832595200 is an abundant number, since it is smaller than the sum of its proper divisors (155196021600).

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

56832595200 is a wasteful number, since it uses less digits than its factorization.

56832595200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42954 (or 42932 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 56832595200 in words is "fifty-six billion, eight hundred thirty-two million, five hundred ninety-five thousand, two hundred".