86568880896 has 360 divisors, whose sum is σ = 268445469600. Its totient is φ = 27714355200.

The previous prime is 86568880847. The next prime is 86568880987. The reversal of 86568880896 is 69808886568.

It is a super-2 number, since 2×86568880896² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 215882296 + ... + 215882696.

It is an arithmetic number, because the mean of its divisors is an integer number (745681860).

Almost surely, 2^86568880896 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 86568880896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134222734800).

86568880896 is an abundant number, since it is smaller than the sum of its proper divisors (181876588704).

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

86568880896 is a wasteful number, since it uses less digits than its factorization.

86568880896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 72.

The spelling of 86568880896 in words is "eighty-six billion, five hundred sixty-eight million, eight hundred eighty thousand, eight hundred ninety-six".