86820588582 has 128 divisors (see below), whose sum is σ = 226567756800. Its totient is φ = 21523746816.

The previous prime is 86820588553. The next prime is 86820588583. The reversal of 86820588582 is 28588502868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86820588583) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7967794 + ... + 7978682.

It is an arithmetic number, because the mean of its divisors is an integer number (1770060600).

Almost surely, 2^86820588582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86820588582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113283878400).

86820588582 is an abundant number, since it is smaller than the sum of its proper divisors (139747168218).

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

86820588582 is a wasteful number, since it uses less digits than its factorization.

86820588582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11790.

The product of its (nonzero) digits is 19660800, while the sum is 60.

The spelling of 86820588582 in words is "eighty-six billion, eight hundred twenty million, five hundred eighty-eight thousand, five hundred eighty-two".