86102839296 has 624 divisors, whose sum is σ = 282648475200. Its totient is φ = 26085556224.

The previous prime is 86102839279. The next prime is 86102839297. The reversal of 86102839296 is 69293820168.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86102839297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 548425650 + ... + 548425806.

It is an arithmetic number, because the mean of its divisors is an integer number (452962300).

Almost surely, 2^86102839296 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 86102839296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141324237600).

86102839296 is an abundant number, since it is smaller than the sum of its proper divisors (196545635904).

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

86102839296 is a wasteful number, since it uses less digits than its factorization.

86102839296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 86102839296 in words is "eighty-six billion, one hundred two million, eight hundred thirty-nine thousand, two hundred ninety-six".