57671648592000 has 128 divisors (see below), whose sum is σ = 191181515241600. Its totient is φ = 15379106278400.

The previous prime is 57671648591981. The next prime is 57671648592001. The reversal of 57671648592000 is 29584617675.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (57671648592001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 600698340 + ... + 600794339.

It is an arithmetic number, because the mean of its divisors is an integer number (1493605587825).

Almost surely, 2^{57671648592000} is an apocalyptic number.

57671648592000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57671648592000 is an abundant number, since it is smaller than the sum of its proper divisors (133509866649600).

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

57671648592000 is a wasteful number, since it uses less digits than its factorization.

57671648592000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201492711 (or 1201492689 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 57671648592000 in words is "fifty-seven trillion, six hundred seventy-one billion, six hundred forty-eight million, five hundred ninety-two thousand".