86160056320 has 448 divisors, whose sum is σ = 235424496384. Its totient is φ = 30057431040.

The previous prime is 86160056317. The next prime is 86160056321. The reversal of 86160056320 is 2365006168.

It is a self number, because there is not a number n which added to its sum of digits gives 86160056320.

It is not an unprimeable number, because it can be changed into a prime (86160056321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1213521885 + ... + 1213521955.

It is an arithmetic number, because the mean of its divisors is an integer number (525501108).

Almost surely, 2^86160056320 is an apocalyptic number.

86160056320 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 86160056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117712248192).

86160056320 is an abundant number, since it is smaller than the sum of its proper divisors (149264440064).

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

86160056320 is a wasteful number, since it uses less digits than its factorization.

86160056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 86160056320 in words is "eighty-six billion, one hundred sixty million, fifty-six thousand, three hundred twenty".