18255189120 has 384 divisors, whose sum is σ = 70033118400. Its totient is φ = 4028129280.

The previous prime is 18255189109. The next prime is 18255189229. The reversal of 18255189120 is 2198155281.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2724975 + ... + 2731665.

Almost surely, 2^18255189120 is an apocalyptic number.

18255189120 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 18255189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35016559200).

18255189120 is an abundant number, since it is smaller than the sum of its proper divisors (51777929280).

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

18255189120 is a wasteful number, since it uses less digits than its factorization.

18255189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6756 (or 6737 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 42.

The spelling of 18255189120 in words is "eighteen billion, two hundred fifty-five million, one hundred eighty-nine thousand, one hundred twenty".