18585086520 has 1152 divisors, whose sum is σ = 82157483520. Its totient is φ = 3299788800.

The previous prime is 18585086503. The next prime is 18585086567. The reversal of 18585086520 is 2568058581.

It is a self number, because there is not a number n which added to its sum of digits gives 18585086520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 599518905 + ... + 599518935.

It is an arithmetic number, because the mean of its divisors is an integer number (71317260).

Almost surely, 2^18585086520 is an apocalyptic number.

18585086520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18585086520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41078741760).

18585086520 is an abundant number, since it is smaller than the sum of its proper divisors (63572397000).

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

18585086520 is a wasteful number, since it uses less digits than its factorization.

18585086520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 48.

The spelling of 18585086520 in words is "eighteen billion, five hundred eighty-five million, eighty-six thousand, five hundred twenty".