86113982914560 has 1008 divisors, whose sum is σ = 319075119267840. Its totient is φ = 21477107957760.

The previous prime is 86113982914513. The next prime is 86113982914627. The reversal of 86113982914560 is 6541928931168.

86113982914560 is a `hidden beast` number, since 8 + 6 + 1 + 1 + 3 + 98 + 2 + 91 + 456 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10513240065 + ... + 10513248255.

Almost surely, 2^{86113982914560} is an apocalyptic number.

86113982914560 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 86113982914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159537559633920).

86113982914560 is an abundant number, since it is smaller than the sum of its proper divisors (232961136353280).

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

86113982914560 is a wasteful number, since it uses less digits than its factorization.

86113982914560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8345 (or 8299 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 86113982914560 in words is "eighty-six trillion, one hundred thirteen billion, nine hundred eighty-two million, nine hundred fourteen thousand, five hundred sixty".