18749088120 has 256 divisors, whose sum is σ = 66738816000. Its totient is φ = 4122832896.

The previous prime is 18749088101. The next prime is 18749088121. The reversal of 18749088120 is 2188094781.

It is a self number, because there is not a number n which added to its sum of digits gives 18749088120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18749088121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7623451 + ... + 7625909.

It is an arithmetic number, because the mean of its divisors is an integer number (260698500).

Almost surely, 2^18749088120 is an apocalyptic number.

18749088120 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 18749088120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33369408000).

18749088120 is an abundant number, since it is smaller than the sum of its proper divisors (47989727880).

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

18749088120 is a wasteful number, since it uses less digits than its factorization.

18749088120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The spelling of 18749088120 in words is "eighteen billion, seven hundred forty-nine million, eighty-eight thousand, one hundred twenty".