86577977977568 has 192 divisors, whose sum is σ = 216551763671040. Its totient is φ = 33092393510400.

The previous prime is 86577977977537. The next prime is 86577977977597.

86577977977568 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×86577977977568² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70773155 + ... + 71986077.

It is an arithmetic number, because the mean of its divisors is an integer number (1127873769120).

Almost surely, 2^{86577977977568} is an apocalyptic number.

86577977977568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86577977977568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108275881835520).

86577977977568 is an abundant number, since it is smaller than the sum of its proper divisors (129973785693472).

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

86577977977568 is a wasteful number, since it uses less digits than its factorization.

86577977977568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213501 (or 1213493 counting only the distinct ones).

The product of its digits is 548903174400, while the sum is 98.

The spelling of 86577977977568 in words is "eighty-six trillion, five hundred seventy-seven billion, nine hundred seventy-seven million, nine hundred seventy-seven thousand, five hundred sixty-eight".