86579666697568 has 96 divisors (see below), whose sum is σ = 192401639811360. Its totient is φ = 37989429596160.

The previous prime is 86579666697533. The next prime is 86579666697583.

86579666697568 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×86579666697568² (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 15 ways as a sum of consecutive naturals, for example, 48249996 + ... + 50012212.

It is an arithmetic number, because the mean of its divisors is an integer number (2004183748035).

Almost surely, 2^{86579666697568} is an apocalyptic number.

86579666697568 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 86579666697568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96200819905680).

86579666697568 is an abundant number, since it is smaller than the sum of its proper divisors (105821973113792).

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

86579666697568 is a wasteful number, since it uses less digits than its factorization.

86579666697568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767080 (or 1767072 counting only the distinct ones).

The product of its digits is 296284262400, while the sum is 94.

The spelling of 86579666697568 in words is "eighty-six trillion, five hundred seventy-nine billion, six hundred sixty-six million, six hundred ninety-seven thousand, five hundred sixty-eight".