18085519872 has 480 divisors, whose sum is σ = 62047814400. Its totient is φ = 4964843520.

The previous prime is 18085519841. The next prime is 18085519897. The reversal of 18085519872 is 27891558081.

18085519872 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 551 + 9 + 87 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121379254 + ... + 121379402.

It is an arithmetic number, because the mean of its divisors is an integer number (129266280).

Almost surely, 2^18085519872 is an apocalyptic number.

18085519872 is a gapful number since it is divisible by the number (12) 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 18085519872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31023907200).

18085519872 is an abundant number, since it is smaller than the sum of its proper divisors (43962294528).

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

18085519872 is a wasteful number, since it uses less digits than its factorization.

18085519872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 54.

The spelling of 18085519872 in words is "eighteen billion, eighty-five million, five hundred nineteen thousand, eight hundred seventy-two".