86582559072 has 96 divisors (see below), whose sum is σ = 229842531072. Its totient is φ = 28537173504.

The previous prime is 86582559061. The next prime is 86582559097. The reversal of 86582559072 is 27095528568.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3068613 + ... + 3096699.

It is an arithmetic number, because the mean of its divisors is an integer number (2394193032).

Almost surely, 2^86582559072 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 86582559072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114921265536).

86582559072 is an abundant number, since it is smaller than the sum of its proper divisors (143259972000).

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

86582559072 is a wasteful number, since it uses less digits than its factorization.

86582559072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28460 (or 28452 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 57.

The spelling of 86582559072 in words is "eighty-six billion, five hundred eighty-two million, five hundred fifty-nine thousand, seventy-two".