86315569184 has 96 divisors (see below), whose sum is σ = 189003144960. Its totient is φ = 38551468032.

The previous prime is 86315569183. The next prime is 86315569189. The reversal of 86315569184 is 48196551368.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (86315569183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1715327 + ... + 1764929.

It is an arithmetic number, because the mean of its divisors is an integer number (1968782760).

Almost surely, 2^86315569184 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 86315569184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94501572480).

86315569184 is an abundant number, since it is smaller than the sum of its proper divisors (102687575776).

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

86315569184 is a wasteful number, since it uses less digits than its factorization.

86315569184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49762 (or 49754 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 56.

The spelling of 86315569184 in words is "eighty-six billion, three hundred fifteen million, five hundred sixty-nine thousand, one hundred eighty-four".