57977599680 has 2016 divisors, whose sum is σ = 290271159360. Its totient is φ = 10466426880.

The previous prime is 57977599657. The next prime is 57977599721. The reversal of 57977599680 is 8699577975.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×57977599680² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 57977599599 and 57977599608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3410447032 + ... + 3410447048.

It is an arithmetic number, because the mean of its divisors is an integer number (143983710).

Almost surely, 2^57977599680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57977599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145135579680).

57977599680 is an abundant number, since it is smaller than the sum of its proper divisors (232293559680).

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

57977599680 is a wasteful number, since it uses less digits than its factorization.

57977599680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 300056400, while the sum is 72.

The spelling of 57977599680 in words is "fifty-seven billion, nine hundred seventy-seven million, five hundred ninety-nine thousand, six hundred eighty".