57461984900 has 18 divisors (see below), whose sum is σ = 124692507450. Its totient is φ = 22984793920.

The previous prime is 57461984851. The next prime is 57461984929. The reversal of 57461984900 is 948916475.

It can be written as a sum of positive squares in 3 ways, for example, as 1219965184 + 56242019716 = 34928^2 + 237154^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 287309825 + ... + 287310024.

It is an arithmetic number, because the mean of its divisors is an integer number (6927361525).

Almost surely, 2^57461984900 is an apocalyptic number.

57461984900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57461984900 is an abundant number, since it is smaller than the sum of its proper divisors (67230522550).

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

57461984900 is a wasteful number, since it uses less digits than its factorization.

57461984900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574619863 (or 574619856 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 53.

The spelling of 57461984900 in words is "fifty-seven billion, four hundred sixty-one million, nine hundred eighty-four thousand, nine hundred".