86051106864 has 200 divisors, whose sum is σ = 253735344720. Its totient is φ = 28149990912.

The previous prime is 86051106859. The next prime is 86051106877. The reversal of 86051106864 is 46860115068.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15112402 + ... + 15118094.

Almost surely, 2^86051106864 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 86051106864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126867672360).

86051106864 is an abundant number, since it is smaller than the sum of its proper divisors (167684237856).

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

86051106864 is a wasteful number, since it uses less digits than its factorization.

86051106864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5929 (or 5914 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 86051106864 in words is "eighty-six billion, fifty-one million, one hundred six thousand, eight hundred sixty-four".