18111859200 has 480 divisors, whose sum is σ = 67404078720. Its totient is φ = 4822364160.

The previous prime is 18111859153. The next prime is 18111859217. The reversal of 18111859200 is 295811181.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 27993277 + ... + 27993923.

It is an arithmetic number, because the mean of its divisors is an integer number (140425164).

Almost surely, 2^18111859200 is an apocalyptic number.

18111859200 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 18111859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33702039360).

18111859200 is an abundant number, since it is smaller than the sum of its proper divisors (49292219520).

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

18111859200 is an frugal number, since it uses more digits than its factorization.

18111859200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 36.

The spelling of 18111859200 in words is "eighteen billion, one hundred eleven million, eight hundred fifty-nine thousand, two hundred".