86362039296 has 660 divisors, whose sum is σ = 286646183604. Its totient is φ = 25878528000.

The previous prime is 86362039289. The next prime is 86362039297. The reversal of 86362039296 is 69293026368.

86362039296 is a `hidden beast` number, since 8 + 6 + 3 + 620 + 3 + 9 + 2 + 9 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 13072720896 + 73289318400 = 114336^2 + 270720^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (86362039297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 855069646 + ... + 855069746.

Almost surely, 2^86362039296 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 86362039296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143323091802).

86362039296 is an abundant number, since it is smaller than the sum of its proper divisors (200284144308).

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

86362039296 is a wasteful number, since it uses less digits than its factorization.

86362039296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 86362039296 in words is "eighty-six billion, three hundred sixty-two million, thirty-nine thousand, two hundred ninety-six".