86513631568 has 80 divisors (see below), whose sum is σ = 206640413056. Its totient is φ = 34168988160.

The previous prime is 86513631539. The next prime is 86513631569.

86513631568 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×86513631568² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86513631569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 844063 + ... + 940993.

Almost surely, 2^86513631568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86513631568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103320206528).

86513631568 is an abundant number, since it is smaller than the sum of its proper divisors (120126781488).

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

86513631568 is a wasteful number, since it uses less digits than its factorization.

86513631568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97572 (or 97566 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 52.

The spelling of 86513631568 in words is "eighty-six billion, five hundred thirteen million, six hundred thirty-one thousand, five hundred sixty-eight".