86285965986 has 128 divisors (see below), whose sum is σ = 221649592320. Its totient is φ = 24590649600.

The previous prime is 86285965939. The next prime is 86285965991. The reversal of 86285965986 is 68956958268.

86285965986 is a `hidden beast` number, since 8 + 6 + 28 + 5 + 9 + 6 + 598 + 6 = 666.

It is a super-2 number, since 2×86285965986² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18891075 + ... + 18895641.

It is an arithmetic number, because the mean of its divisors is an integer number (1731637440).

Almost surely, 2^86285965986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86285965986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110824796160).

86285965986 is an abundant number, since it is smaller than the sum of its proper divisors (135363626334).

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

86285965986 is a wasteful number, since it uses less digits than its factorization.

86285965986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6477 (or 6471 counting only the distinct ones).

The product of its digits is 447897600, while the sum is 72.

The spelling of 86285965986 in words is "eighty-six billion, two hundred eighty-five million, nine hundred sixty-five thousand, nine hundred eighty-six".