86576233267568 has 40 divisors (see below), whose sum is σ = 183686456992896. Its totient is φ = 39203202737600.

The previous prime is 86576233267547. The next prime is 86576233267583.

It is a happy number.

86576233267568 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86576233267495 and 86576233267504.

It is a congruent number.

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, 935144618 + ... + 935237193.

Almost surely, 2^{86576233267568} is an apocalyptic number.

86576233267568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86576233267568 is an abundant number, since it is smaller than the sum of its proper divisors (97110223725328).

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

86576233267568 is a wasteful number, since it uses less digits than its factorization.

86576233267568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870382093 (or 1870382087 counting only the distinct ones).

The product of its digits is 3657830400, while the sum is 74.

The spelling of 86576233267568 in words is "eighty-six trillion, five hundred seventy-six billion, two hundred thirty-three million, two hundred sixty-seven thousand, five hundred sixty-eight".