86864311392 has 96 divisors (see below), whose sum is σ = 243647157600. Its totient is φ = 27001479168.

The previous prime is 86864311357. The next prime is 86864311421. The reversal of 86864311392 is 29311346868.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 66267 + ... + 422042.

It is an arithmetic number, because the mean of its divisors is an integer number (2537991225).

Almost surely, 2^86864311392 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 86864311392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121823578800).

86864311392 is an abundant number, since it is smaller than the sum of its proper divisors (156782846208).

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

86864311392 is a wasteful number, since it uses less digits than its factorization.

86864311392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488448 (or 488440 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The spelling of 86864311392 in words is "eighty-six billion, eight hundred sixty-four million, three hundred eleven thousand, three hundred ninety-two".