86297479268 has 216 divisors, whose sum is σ = 214391931264. Its totient is φ = 29682132480.

The previous prime is 86297479223. The next prime is 86297479283.

86297479268 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86297479198 and 86297479207.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13165880 + ... + 13172432.

Almost surely, 2^86297479268 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 86297479268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107195965632).

86297479268 is an abundant number, since it is smaller than the sum of its proper divisors (128094451996).

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

86297479268 is a wasteful number, since it uses less digits than its factorization.

86297479268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6635 (or 6609 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 68.

It can be divided in two parts, 86297 and 479268, that added together give a palindrome (565565).

The spelling of 86297479268 in words is "eighty-six billion, two hundred ninety-seven million, four hundred seventy-nine thousand, two hundred sixty-eight".