86564616816 has 240 divisors, whose sum is σ = 248897283840. Its totient is φ = 25804247040.

The previous prime is 86564616781. The next prime is 86564616851. The reversal of 86564616816 is 61861646568.

It is an interprime number because it is at equal distance from previous prime (86564616781) and next prime (86564616851).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166150636 + ... + 166151156.

It is an arithmetic number, because the mean of its divisors is an integer number (1037072016).

Almost surely, 2^86564616816 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 86564616816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124448641920).

86564616816 is an abundant number, since it is smaller than the sum of its proper divisors (162332667024).

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

86564616816 is a wasteful number, since it uses less digits than its factorization.

86564616816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 657 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 57.

The spelling of 86564616816 in words is "eighty-six billion, five hundred sixty-four million, six hundred sixteen thousand, eight hundred sixteen".