18009600000 has 624 divisors, whose sum is σ = 69619044096. Its totient is φ = 4055040000.

The previous prime is 18009599987. The next prime is 18009600023. The reversal of 18009600000 is 690081.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268799967 + ... + 268800033.

Almost surely, 2^18009600000 is an apocalyptic number.

18009600000 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 18009600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34809522048).

18009600000 is an abundant number, since it is smaller than the sum of its proper divisors (51609444096).

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

18009600000 is an frugal number, since it uses more digits than its factorization.

18009600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 18009600000 in words is "eighteen billion, nine million, six hundred thousand".