18190105920 has 672 divisors, whose sum is σ = 74689655040. Its totient is φ = 3976888320.

The previous prime is 18190105907. The next prime is 18190105937. The reversal of 18190105920 is 2950109181.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48766854 + ... + 48767226.

It is an arithmetic number, because the mean of its divisors is an integer number (111145320).

Almost surely, 2^18190105920 is an apocalyptic number.

18190105920 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 18190105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37344827520).

18190105920 is an abundant number, since it is smaller than the sum of its proper divisors (56499549120).

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

18190105920 is a wasteful number, since it uses less digits than its factorization.

18190105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The spelling of 18190105920 in words is "eighteen billion, one hundred ninety million, one hundred five thousand, nine hundred twenty".