18940096000 has 320 divisors, whose sum is σ = 54867631104. Its totient is φ = 6386688000.

The previous prime is 18940095931. The next prime is 18940096031. The reversal of 18940096000 is 69004981.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30015685 + ... + 30016315.

Almost surely, 2^18940096000 is an apocalyptic number.

18940096000 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 18940096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27433815552).

18940096000 is an abundant number, since it is smaller than the sum of its proper divisors (35927535104).

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

18940096000 is an frugal number, since it uses more digits than its factorization.

18940096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 18940096000 in words is "eighteen billion, nine hundred forty million, ninety-six thousand".