86807021184 has 192 divisors, whose sum is σ = 269550022560. Its totient is φ = 26656376832.

The previous prime is 86807021143. The next prime is 86807021201. The reversal of 86807021184 is 48112070868.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7826907 + ... + 7837989.

Almost surely, 2^86807021184 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 86807021184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134775011280).

86807021184 is an abundant number, since it is smaller than the sum of its proper divisors (182743001376).

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

86807021184 is a wasteful number, since it uses less digits than its factorization.

86807021184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11639 (or 11624 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 86807021184 in words is "eighty-six billion, eight hundred seven million, twenty-one thousand, one hundred eighty-four".