57540912458400 has 432 divisors, whose sum is σ = 239370202326528. Its totient is φ = 12727943424000.

The previous prime is 57540912458371. The next prime is 57540912458411. The reversal of 57540912458400 is 485421904575.

57540912458400 is a `hidden beast` number, since 5 + 7 + 5 + 40 + 9 + 12 + 4 + 584 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16851871 + ... + 19976670.

Almost surely, 2^{57540912458400} is an apocalyptic number.

57540912458400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57540912458400 is an abundant number, since it is smaller than the sum of its proper divisors (181829289868128).

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

57540912458400 is a wasteful number, since it uses less digits than its factorization.

57540912458400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36828605 (or 36828589 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 57540912458400 in words is "fifty-seven trillion, five hundred forty billion, nine hundred twelve million, four hundred fifty-eight thousand, four hundred".