77857538101 has 32 divisors (see below), whose sum is σ = 92200550400. Its totient is φ = 65710291248.

The previous prime is 77857538093. The next prime is 77857538113. The reversal of 77857538101 is 10183575877.

It is not a de Polignac number, because 77857538101 - 2³ = 77857538093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77857508101) 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, 6122716 + ... + 6135418.

It is an arithmetic number, because the mean of its divisors is an integer number (2881267200).

Almost surely, 2^77857538101 is an apocalyptic number.

It is an amenable number.

77857538101 is a deficient number, since it is larger than the sum of its proper divisors (14343012299).

77857538101 is a wasteful number, since it uses less digits than its factorization.

77857538101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12998 (or 12984 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 52.

The spelling of 77857538101 in words is "seventy-seven billion, eight hundred fifty-seven million, five hundred thirty-eight thousand, one hundred one".