57435468400800 has 360 divisors, whose sum is σ = 239378270747616. Its totient is φ = 13128106959360.

The previous prime is 57435468400777. The next prime is 57435468400847. The reversal of 57435468400800 is 800486453475.

It is a happy number.

57435468400800 is a `hidden beast` number, since 5 + 74 + 35 + 4 + 68 + 400 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 62857102 + ... + 63764301.

Almost surely, 2^{57435468400800} is an apocalyptic number.

57435468400800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57435468400800 is an abundant number, since it is smaller than the sum of its proper divisors (181942802346816).

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

57435468400800 is a wasteful number, since it uses less digits than its factorization.

57435468400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126621442 (or 126621420 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 57435468400800 in words is "fifty-seven trillion, four hundred thirty-five billion, four hundred sixty-eight million, four hundred thousand, eight hundred".