86635596966912 has 792 divisors, whose sum is σ = 301542683599872. Its totient is φ = 23862446899200.

The previous prime is 86635596966887. The next prime is 86635596966929. The reversal of 86635596966912 is 21966969553668.

86635596966912 is a `hidden beast` number, since 8 + 6 + 6 + 3 + 5 + 596 + 9 + 6 + 6 + 9 + 12 = 666.

86635596966912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3681752587 + ... + 3681776117.

It is an arithmetic number, because the mean of its divisors is an integer number (380735711616).

Almost surely, 2^{86635596966912} 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 86635596966912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150771341799936).

86635596966912 is an abundant number, since it is smaller than the sum of its proper divisors (214907086632960).

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

86635596966912 is a wasteful number, since it uses less digits than its factorization.

86635596966912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23865 (or 23837 counting only the distinct ones).

The product of its digits is 6802444800, while the sum is 81.

The spelling of 86635596966912 in words is "eighty-six trillion, six hundred thirty-five billion, five hundred ninety-six million, nine hundred sixty-six thousand, nine hundred twelve".