19919119200 has 144 divisors (see below), whose sum is σ = 64975841280. Its totient is φ = 5300369920.

The previous prime is 19919119189. The next prime is 19919119237. The reversal of 19919119200 is 291191991.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1140937 + ... + 1158263.

It is an arithmetic number, because the mean of its divisors is an integer number (451221120).

Almost surely, 2^19919119200 is an apocalyptic number.

19919119200 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 19919119200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32487920640).

19919119200 is an abundant number, since it is smaller than the sum of its proper divisors (45056722080).

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

19919119200 is a wasteful number, since it uses less digits than its factorization.

19919119200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17829 (or 17816 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 42.

The spelling of 19919119200 in words is "nineteen billion, nine hundred nineteen million, one hundred nineteen thousand, two hundred".