18115801200 has 480 divisors, whose sum is σ = 76240358400. Its totient is φ = 3997486080.

The previous prime is 18115801163. The next prime is 18115801201. The reversal of 18115801200 is 210851181.

18115801200 is a `hidden beast` number, since 1 + 81 + 1 + 580 + 1 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18115801201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2188269 + ... + 2196531.

It is an arithmetic number, because the mean of its divisors is an integer number (158834080).

Almost surely, 2^18115801200 is an apocalyptic number.

18115801200 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 18115801200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38120179200).

18115801200 is an abundant number, since it is smaller than the sum of its proper divisors (58124557200).

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

18115801200 is a wasteful number, since it uses less digits than its factorization.

18115801200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8326 (or 8309 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 27.

The spelling of 18115801200 in words is "eighteen billion, one hundred fifteen million, eight hundred one thousand, two hundred".