86188431056 has 160 divisors (see below), whose sum is σ = 215183727360. Its totient is φ = 32522821632.

The previous prime is 86188431041. The next prime is 86188431067. The reversal of 86188431056 is 65013488168.

It is a junction number, because it is equal to n+sod(n) for n = 86188430995 and 86188431013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3492296 + ... + 3516888.

It is an arithmetic number, because the mean of its divisors is an integer number (1344898296).

Almost surely, 2^86188431056 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 86188431056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107591863680).

86188431056 is an abundant number, since it is smaller than the sum of its proper divisors (128995296304).

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

86188431056 is a wasteful number, since it uses less digits than its factorization.

86188431056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24733 (or 24727 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 50.

The spelling of 86188431056 in words is "eighty-six billion, one hundred eighty-eight million, four hundred thirty-one thousand, fifty-six".