19913790352896 has 600 divisors, whose sum is σ = 65832931938312. Its totient is φ = 5988219494400.

The previous prime is 19913790352871. The next prime is 19913790352909. The reversal of 19913790352896 is 69825309731991.

19913790352896 is a `hidden beast` number, since 1 + 9 + 9 + 1 + 3 + 7 + 9 + 0 + 3 + 528 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 657357526 + ... + 657387818.

Almost surely, 2^{19913790352896} is an apocalyptic number.

19913790352896 is a gapful number since it is divisible by the number (16) 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 19913790352896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32916465969156).

19913790352896 is an abundant number, since it is smaller than the sum of its proper divisors (45919141585416).

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

19913790352896 is a wasteful number, since it uses less digits than its factorization.

19913790352896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30476 (or 30440 counting only the distinct ones).

The product of its (nonzero) digits is 198404640, while the sum is 72.

The spelling of 19913790352896 in words is "nineteen trillion, nine hundred thirteen billion, seven hundred ninety million, three hundred fifty-two thousand, eight hundred ninety-six".