57972465847296 has 1584 divisors, whose sum is σ = 232198304083200. Its totient is φ = 13691015331840.

The previous prime is 57972465847279. The next prime is 57972465847337. The reversal of 57972465847296 is 69274856427975.

57972465847296 is a `hidden beast` number, since 5 + 7 + 9 + 7 + 2 + 4 + 6 + 58 + 472 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-3 number, since 3×57972465847296³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4326619605 + ... + 4326633003.

Almost surely, 2^{57972465847296} is an apocalyptic number.

57972465847296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57972465847296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116099152041600).

57972465847296 is an abundant number, since it is smaller than the sum of its proper divisors (174225838235904).

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

57972465847296 is a wasteful number, since it uses less digits than its factorization.

57972465847296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13530 (or 13502 counting only the distinct ones).

The product of its digits is 12802406400, while the sum is 81.

The spelling of 57972465847296 in words is "fifty-seven trillion, nine hundred seventy-two billion, four hundred sixty-five million, eight hundred forty-seven thousand, two hundred ninety-six".