86324888772 has 144 divisors (see below), whose sum is σ = 227918396160. Its totient is φ = 27524851200.

The previous prime is 86324888701. The next prime is 86324888773. The reversal of 86324888772 is 27788842368.

86324888772 is a `hidden beast` number, since 8 + 6 + 3 + 2 + 488 + 87 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (86324888773) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40318822 + ... + 40320962.

It is an arithmetic number, because the mean of its divisors is an integer number (1582766640).

Almost surely, 2^86324888772 is an apocalyptic number.

86324888772 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86324888772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113959198080).

86324888772 is an abundant number, since it is smaller than the sum of its proper divisors (141593507388).

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

86324888772 is a wasteful number, since it uses less digits than its factorization.

86324888772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2709 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 63.

The spelling of 86324888772 in words is "eighty-six billion, three hundred twenty-four million, eight hundred eighty-eight thousand, seven hundred seventy-two".