57990951200 has 216 divisors, whose sum is σ = 177353500212. Its totient is φ = 18353018880.

The previous prime is 57990951199. The next prime is 57990951211. The reversal of 57990951200 is 215909975.

It can be written as a sum of positive squares in 6 ways, for example, as 5030213776 + 52960737424 = 70924^2 + 230132^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 452702 + ... + 566498.

Almost surely, 2^57990951200 is an apocalyptic number.

57990951200 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 57990951200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88676750106).

57990951200 is an abundant number, since it is smaller than the sum of its proper divisors (119362549012).

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

57990951200 is a wasteful number, since it uses less digits than its factorization.

57990951200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113844 (or 113824 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 47.

The spelling of 57990951200 in words is "fifty-seven billion, nine hundred ninety million, nine hundred fifty-one thousand, two hundred".