86020138256 has 160 divisors (see below), whose sum is σ = 188087961600. Its totient is φ = 37838223360.

The previous prime is 86020138249. The next prime is 86020138271. The reversal of 86020138256 is 65283102068.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 226965875 + ... + 226966253.

It is an arithmetic number, because the mean of its divisors is an integer number (1175549760).

Almost surely, 2^86020138256 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 86020138256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94043980800).

86020138256 is an abundant number, since it is smaller than the sum of its proper divisors (102067823344).

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

86020138256 is a wasteful number, since it uses less digits than its factorization.

86020138256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 86020138256 in words is "eighty-six billion, twenty million, one hundred thirty-eight thousand, two hundred fifty-six".