57691268400 has 60 divisors (see below), whose sum is σ = 184804366952. Its totient is φ = 15384337920.

The previous prime is 57691268389. The next prime is 57691268461. The reversal of 57691268400 is 486219675.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 57691268400.

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 11 ways as a sum of consecutive naturals, for example, 24036829 + ... + 24039228.

Almost surely, 2^57691268400 is an apocalyptic number.

57691268400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57691268400 is an abundant number, since it is smaller than the sum of its proper divisors (127113098552).

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

57691268400 is a wasteful number, since it uses less digits than its factorization.

57691268400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48076078 (or 48076067 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 57691268400 in words is "fifty-seven billion, six hundred ninety-one million, two hundred sixty-eight thousand, four hundred".