19119980160 has 192 divisors, whose sum is σ = 66105847080. Its totient is φ = 5092319232.

The previous prime is 19119980153. The next prime is 19119980161. The reversal of 19119980160 is 6108991191.

It can be written as a sum of positive squares in 4 ways, for example, as 19050624576 + 69355584 = 138024^2 + 8328^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (19119980161) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6294162 + ... + 6297198.

Almost surely, 2^19119980160 is an apocalyptic number.

19119980160 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 19119980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33052923540).

19119980160 is an abundant number, since it is smaller than the sum of its proper divisors (46985866920).

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

19119980160 is a wasteful number, since it uses less digits than its factorization.

19119980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 45.

The spelling of 19119980160 in words is "nineteen billion, one hundred nineteen million, nine hundred eighty thousand, one hundred sixty".