18909109800 has 960 divisors, whose sum is σ = 79401168000. Its totient is φ = 4165862400.

The previous prime is 18909109799. The next prime is 18909109811. The reversal of 18909109800 is 890190981.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 227820559 + ... + 227820641.

It is an arithmetic number, because the mean of its divisors is an integer number (82709550).

Almost surely, 2^18909109800 is an apocalyptic number.

18909109800 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 18909109800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39700584000).

18909109800 is an abundant number, since it is smaller than the sum of its proper divisors (60492058200).

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

18909109800 is a wasteful number, since it uses less digits than its factorization.

18909109800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

The spelling of 18909109800 in words is "eighteen billion, nine hundred nine million, one hundred nine thousand, eight hundred".