57971210976 has 192 divisors, whose sum is σ = 193390364160. Its totient is φ = 16550092800.

The previous prime is 57971210939. The next prime is 57971210993. The reversal of 57971210976 is 67901217975.

It is a happy number.

It is a super-2 number, since 2×57971210976² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9679855 + ... + 9685841.

It is an arithmetic number, because the mean of its divisors is an integer number (1007241480).

Almost surely, 2^57971210976 is an apocalyptic number.

57971210976 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 57971210976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96695182080).

57971210976 is an abundant number, since it is smaller than the sum of its proper divisors (135419153184).

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

57971210976 is a wasteful number, since it uses less digits than its factorization.

57971210976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7614 (or 7600 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 54.

The spelling of 57971210976 in words is "fifty-seven billion, nine hundred seventy-one million, two hundred ten thousand, nine hundred seventy-six".