19913912928 has 576 divisors, whose sum is σ = 72889270272. Its totient is φ = 5016453120.

The previous prime is 19913912911. The next prime is 19913912951. The reversal of 19913912928 is 82921931991.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103180800 + ... + 103180992.

It is an arithmetic number, because the mean of its divisors is an integer number (126543872).

Almost surely, 2^19913912928 is an apocalyptic number.

19913912928 is a gapful number since it is divisible by the number (18) 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 19913912928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36444635136).

19913912928 is an abundant number, since it is smaller than the sum of its proper divisors (52975357344).

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

19913912928 is a wasteful number, since it uses less digits than its factorization.

19913912928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 376 counting only the distinct ones).

The product of its digits is 629856, while the sum is 54.

The spelling of 19913912928 in words is "nineteen billion, nine hundred thirteen million, nine hundred twelve thousand, nine hundred twenty-eight".