86577588577568 has 48 divisors (see below), whose sum is σ = 189096659226720. Its totient is φ = 38686441728000.

The previous prime is 86577588577541. The next prime is 86577588577573.

86577588577568 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2084378033 + ... + 2084419568.

It is an arithmetic number, because the mean of its divisors is an integer number (3939513733890).

Almost surely, 2^{86577588577568} is an apocalyptic number.

86577588577568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86577588577568 is an abundant number, since it is smaller than the sum of its proper divisors (102519070649152).

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

86577588577568 is a wasteful number, since it uses less digits than its factorization.

86577588577568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4168797681 (or 4168797673 counting only the distinct ones).

The product of its digits is 221276160000, while the sum is 92.

The spelling of 86577588577568 in words is "eighty-six trillion, five hundred seventy-seven billion, five hundred eighty-eight million, five hundred seventy-seven thousand, five hundred sixty-eight".