56945921200 has 240 divisors, whose sum is σ = 162002520064. Its totient is φ = 18824140800.

The previous prime is 56945921177. The next prime is 56945921213. The reversal of 56945921200 is 212954965.

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 47 ways as a sum of consecutive naturals, for example, 26646532 + ... + 26648668.

Almost surely, 2^56945921200 is an apocalyptic number.

56945921200 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 56945921200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81001260032).

56945921200 is an abundant number, since it is smaller than the sum of its proper divisors (105056598864).

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

56945921200 is a wasteful number, since it uses less digits than its factorization.

56945921200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 56945921200 in words is "fifty-six billion, nine hundred forty-five million, nine hundred twenty-one thousand, two hundred".