18087844320 has 960 divisors, whose sum is σ = 80425699200. Its totient is φ = 3804143616.

The previous prime is 18087844223. The next prime is 18087844321. The reversal of 18087844320 is 2344878081.

18087844320 is a `hidden beast` number, since 180 + 8 + 7 + 8 + 443 + 20 = 666.

It is a super-2 number, since 2×18087844320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18087844321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57788484 + ... + 57788796.

It is an arithmetic number, because the mean of its divisors is an integer number (83776770).

Almost surely, 2^18087844320 is an apocalyptic number.

18087844320 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 18087844320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40212849600).

18087844320 is an abundant number, since it is smaller than the sum of its proper divisors (62337854880).

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

18087844320 is a wasteful number, since it uses less digits than its factorization.

18087844320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 18087844320 in words is "eighteen billion, eighty-seven million, eight hundred forty-four thousand, three hundred twenty".