57456106261800 has 96 divisors (see below), whose sum is σ = 185858013343680. Its totient is φ = 14655470579200.

The previous prime is 57456106261789. The next prime is 57456106261837. The reversal of 57456106261800 is 816260165475.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2081729181 + ... + 2081756780.

It is an arithmetic number, because the mean of its divisors is an integer number (1936020972330).

Almost surely, 2^{57456106261800} is an apocalyptic number.

57456106261800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57456106261800 is an abundant number, since it is smaller than the sum of its proper divisors (128401907081880).

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

57456106261800 is a wasteful number, since it uses less digits than its factorization.

57456106261800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163486003 (or 4163485994 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 57456106261800 in words is "fifty-seven trillion, four hundred fifty-six billion, one hundred six million, two hundred sixty-one thousand, eight hundred".