86058846720 has 960 divisors, whose sum is σ = 375044567040. Its totient is φ = 17716838400.

The previous prime is 86058846613. The next prime is 86058846817. The reversal of 86058846720 is 2764885068.

86058846720 is a `hidden beast` number, since 8 + 605 + 8 + 8 + 4 + 6 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×86058846720³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 317560185 + ... + 317560455.

It is an arithmetic number, because the mean of its divisors is an integer number (390671424).

Almost surely, 2^86058846720 is an apocalyptic number.

86058846720 is a gapful number since it is divisible by the number (80) 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 86058846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187522283520).

86058846720 is an abundant number, since it is smaller than the sum of its proper divisors (288985720320).

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

86058846720 is a wasteful number, since it uses less digits than its factorization.

86058846720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 86058846720 in words is "eighty-six billion, fifty-eight million, eight hundred forty-six thousand, seven hundred twenty".