86519291568 has 40 divisors (see below), whose sum is σ = 223627353600. Its totient is φ = 28824385344.

The previous prime is 86519291561. The next prime is 86519291587.

86519291568 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (86519291561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389448 + ... + 569831.

It is an arithmetic number, because the mean of its divisors is an integer number (5590683840).

Almost surely, 2^86519291568 is an apocalyptic number.

It is an amenable number.

86519291568 is an abundant number, since it is smaller than the sum of its proper divisors (137108062032).

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

86519291568 is a wasteful number, since it uses less digits than its factorization.

86519291568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961169 (or 961163 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 60.

The spelling of 86519291568 in words is "eighty-six billion, five hundred nineteen million, two hundred ninety-one thousand, five hundred sixty-eight".