56892931200 has 768 divisors, whose sum is σ = 250531584000. Its totient is φ = 12317184000.

The previous prime is 56892931127. The next prime is 56892931241. The reversal of 56892931200 is 213929865.

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

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 95 ways as a sum of consecutive naturals, for example, 11488725 + ... + 11493675.

It is an arithmetic number, because the mean of its divisors is an integer number (326213000).

Almost surely, 2^56892931200 is an apocalyptic number.

56892931200 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 56892931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125265792000).

56892931200 is an abundant number, since it is smaller than the sum of its proper divisors (193638652800).

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

56892931200 is a wasteful number, since it uses less digits than its factorization.

56892931200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010 (or 4987 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 56892931200 in words is "fifty-six billion, eight hundred ninety-two million, nine hundred thirty-one thousand, two hundred".