19940191200 has 648 divisors, whose sum is σ = 76109113080. Its totient is φ = 5094835200.

The previous prime is 19940191181. The next prime is 19940191213. The reversal of 19940191200 is 219104991.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×19940191200² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 152215135 + ... + 152215265.

It is an arithmetic number, because the mean of its divisors is an integer number (117452335).

Almost surely, 2^19940191200 is an apocalyptic number.

19940191200 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 19940191200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38054556540).

19940191200 is an abundant number, since it is smaller than the sum of its proper divisors (56168921880).

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

19940191200 is an equidigital number, since it uses as much as digits as its factorization.

19940191200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 19940191200 in words is "nineteen billion, nine hundred forty million, one hundred ninety-one thousand, two hundred".