19368340992 has 1440 divisors, whose sum is σ = 84109259520. Its totient is φ = 4140564480.

The previous prime is 19368340987. The next prime is 19368341021. The reversal of 19368340992 is 29904386391.

19368340992 is a `hidden beast` number, since 1 + 93 + 68 + 3 + 409 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1019386359 + ... + 1019386377.

It is an arithmetic number, because the mean of its divisors is an integer number (58409208).

Almost surely, 2^19368340992 is an apocalyptic number.

19368340992 is a gapful number since it is divisible by the number (12) 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 19368340992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42054629760).

19368340992 is an abundant number, since it is smaller than the sum of its proper divisors (64740918528).

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

19368340992 is a wasteful number, since it uses less digits than its factorization.

19368340992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 19368340992 in words is "nineteen billion, three hundred sixty-eight million, three hundred forty thousand, nine hundred ninety-two".