86572805184 has 504 divisors, whose sum is σ = 285295177440. Its totient is φ = 25937252352.

The previous prime is 86572805183. The next prime is 86572805233. The reversal of 86572805184 is 48150827568.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 86572805184.

It is not an unprimeable number, because it can be changed into a prime (86572805183) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139858827 + ... + 139859445.

It is an arithmetic number, because the mean of its divisors is an integer number (566061860).

Almost surely, 2^86572805184 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 86572805184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142647588720).

86572805184 is an abundant number, since it is smaller than the sum of its proper divisors (198722372256).

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

86572805184 is a wasteful number, since it uses less digits than its factorization.

86572805184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 86572805184 in words is "eighty-six billion, five hundred seventy-two million, eight hundred five thousand, one hundred eighty-four".