57961977696 has 432 divisors, whose sum is σ = 202208348160. Its totient is φ = 15679802880.

The previous prime is 57961977691. The next prime is 57961977721. The reversal of 57961977696 is 69677916975.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57961977691) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20559775 + ... + 20562593.

It is an arithmetic number, because the mean of its divisors is an integer number (468074880).

Almost surely, 2^57961977696 is an apocalyptic number.

57961977696 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 57961977696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101104174080).

57961977696 is an abundant number, since it is smaller than the sum of its proper divisors (144246370464).

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

57961977696 is a wasteful number, since it uses less digits than its factorization.

57961977696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927 (or 2909 counting only the distinct ones).

The product of its digits is 270050760, while the sum is 72.

The spelling of 57961977696 in words is "fifty-seven billion, nine hundred sixty-one million, nine hundred seventy-seven thousand, six hundred ninety-six".