57577793680 has 240 divisors, whose sum is σ = 158467643136. Its totient is φ = 19282493440.

The previous prime is 57577793519. The next prime is 57577793681. The reversal of 57577793680 is 8639777575.

It is not an unprimeable number, because it can be changed into a prime (57577793681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11950632 + ... + 11955448.

Almost surely, 2^57577793680 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 57577793680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79233821568).

57577793680 is an abundant number, since it is smaller than the sum of its proper divisors (100889849456).

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

57577793680 is a wasteful number, since it uses less digits than its factorization.

57577793680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922 (or 4899 counting only the distinct ones).

The product of its (nonzero) digits is 77792400, while the sum is 64.

The spelling of 57577793680 in words is "fifty-seven billion, five hundred seventy-seven million, seven hundred ninety-three thousand, six hundred eighty".