19839193920000 has 3000 divisors, whose sum is σ = 91712413083456. Its totient is φ = 4179382272000.

The previous prime is 19839193919971. The next prime is 19839193920043. The reversal of 19839193920000 is 2939193891.

19839193920000 is a `hidden beast` number, since 19 + 8 + 391 + 9 + 39 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3000).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 30663359677 + ... + 30663360323.

Almost surely, 2^{19839193920000} is an apocalyptic number.

19839193920000 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 19839193920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45856206541728).

19839193920000 is an abundant number, since it is smaller than the sum of its proper divisors (71873219163456).

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

19839193920000 is an frugal number, since it uses more digits than its factorization.

19839193920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The spelling of 19839193920000 in words is "nineteen trillion, eight hundred thirty-nine billion, one hundred ninety-three million, nine hundred twenty thousand".