86572577527568 has 40 divisors (see below), whose sum is σ = 182986854493536. Its totient is φ = 39350331488000.

The previous prime is 86572577527489. The next prime is 86572577527687.

86572577527568 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×86572577527568² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86572577527492 and 86572577527501.

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, 3053780 + ... + 13508172.

Almost surely, 2^{86572577527568} is an apocalyptic number.

86572577527568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86572577527568 is an abundant number, since it is smaller than the sum of its proper divisors (96414276965968).

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

86572577527568 is a wasteful number, since it uses less digits than its factorization.

86572577527568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10501463 (or 10501457 counting only the distinct ones).

The product of its digits is 13829760000, while the sum is 80.

The spelling of 86572577527568 in words is "eighty-six trillion, five hundred seventy-two billion, five hundred seventy-seven million, five hundred twenty-seven thousand, five hundred sixty-eight".