18372910090900 has 144 divisors (see below), whose sum is σ = 40449707928000. Its totient is φ = 7242912000000.

The previous prime is 18372910090861. The next prime is 18372910090907. The reversal of 18372910090900 is 909001927381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18372910090907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2020995355 + ... + 2021004445.

It is an arithmetic number, because the mean of its divisors is an integer number (280900749500).

Almost surely, 2^{18372910090900} is an apocalyptic number.

18372910090900 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 18372910090900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20224853964000).

18372910090900 is an abundant number, since it is smaller than the sum of its proper divisors (22076797837100).

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

18372910090900 is a wasteful number, since it uses less digits than its factorization.

18372910090900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10106 (or 10099 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 49.

The spelling of 18372910090900 in words is "eighteen trillion, three hundred seventy-two billion, nine hundred ten million, ninety thousand, nine hundred".