57677765728 has 192 divisors, whose sum is σ = 130173474816. Its totient is φ = 24920064000.

The previous prime is 57677765713. The next prime is 57677765729. The reversal of 57677765728 is 82756777675.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57677765729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224426976 + ... + 224427232.

It is an arithmetic number, because the mean of its divisors is an integer number (677986848).

Almost surely, 2^57677765728 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 57677765728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65086737408).

57677765728 is an abundant number, since it is smaller than the sum of its proper divisors (72495709088).

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

57677765728 is a wasteful number, since it uses less digits than its factorization.

57677765728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 589 counting only the distinct ones).

The product of its digits is 242020800, while the sum is 67.

The spelling of 57677765728 in words is "fifty-seven billion, six hundred seventy-seven million, seven hundred sixty-five thousand, seven hundred twenty-eight".