86335296313728 has 1536 divisors, whose sum is σ = 321531130368000. Its totient is φ = 19991412080640.

The previous prime is 86335296313657. The next prime is 86335296313741. The reversal of 86335296313728 is 82731369253368.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8498399913 + ... + 8498410071.

It is an arithmetic number, because the mean of its divisors is an integer number (209330163000).

Almost surely, 2^{86335296313728} is an apocalyptic number.

86335296313728 is a gapful number since it is divisible by the number (88) 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 86335296313728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160765565184000).

86335296313728 is an abundant number, since it is smaller than the sum of its proper divisors (235195834054272).

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

86335296313728 is a wasteful number, since it uses less digits than its factorization.

86335296313728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10304 (or 10281 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 66.

The spelling of 86335296313728 in words is "eighty-six trillion, three hundred thirty-five billion, two hundred ninety-six million, three hundred thirteen thousand, seven hundred twenty-eight".