86326186838256 has 120 divisors (see below), whose sum is σ = 242284988705760. Its totient is φ = 28693038163968.

The previous prime is 86326186838233. The next prime is 86326186838263. The reversal of 86326186838256 is 65283868162368.

86326186838256 is a `hidden beast` number, since 8 + 6 + 3 + 261 + 86 + 8 + 38 + 256 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760546500 + ... + 760659996.

It is an arithmetic number, because the mean of its divisors is an integer number (2019041572548).

Almost surely, 2^{86326186838256} 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 86326186838256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121142494352880).

86326186838256 is an abundant number, since it is smaller than the sum of its proper divisors (155958801867504).

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

86326186838256 is a wasteful number, since it uses less digits than its factorization.

86326186838256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128583 (or 128574 counting only the distinct ones).

The product of its digits is 955514880, while the sum is 72.

The spelling of 86326186838256 in words is "eighty-six trillion, three hundred twenty-six billion, one hundred eighty-six million, eight hundred thirty-eight thousand, two hundred fifty-six".