86880529320 has 256 divisors, whose sum is σ = 292748359680. Its totient is φ = 20481638400.

The previous prime is 86880529297. The next prime is 86880529321. The reversal of 86880529320 is 2392508868.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (86880529321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4681660 + ... + 4700180.

It is an arithmetic number, because the mean of its divisors is an integer number (1143548280).

Almost surely, 2^86880529320 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 86880529320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146374179840).

86880529320 is an abundant number, since it is smaller than the sum of its proper divisors (205867830360).

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

86880529320 is a wasteful number, since it uses less digits than its factorization.

86880529320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18676 (or 18672 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 86880529320 in words is "eighty-six billion, eight hundred eighty million, five hundred twenty-nine thousand, three hundred twenty".