86733968832 has 224 divisors, whose sum is σ = 306745843200. Its totient is φ = 23476801536.

The previous prime is 86733968779. The next prime is 86733968843. The reversal of 86733968832 is 23886933768.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 86733968832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41128 + ... + 418520.

Almost surely, 2^86733968832 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 86733968832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153372921600).

86733968832 is an abundant number, since it is smaller than the sum of its proper divisors (220011874368).

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

86733968832 is a wasteful number, since it uses less digits than its factorization.

86733968832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377440 (or 377424 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 86733968832 in words is "eighty-six billion, seven hundred thirty-three million, nine hundred sixty-eight thousand, eight hundred thirty-two".