19993009920 has 576 divisors, whose sum is σ = 73430945280. Its totient is φ = 4595318784.

The previous prime is 19993009913. The next prime is 19993009931. The reversal of 19993009920 is 2990039991.

It is a super-2 number, since 2×19993009920² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101487262 + ... + 101487458.

It is an arithmetic number, because the mean of its divisors is an integer number (127484280).

Almost surely, 2^19993009920 is an apocalyptic number.

19993009920 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 19993009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36715472640).

19993009920 is an abundant number, since it is smaller than the sum of its proper divisors (53437935360).

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

19993009920 is a wasteful number, since it uses less digits than its factorization.

19993009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 354294, while the sum is 51.

The spelling of 19993009920 in words is "nineteen billion, nine hundred ninety-three million, nine thousand, nine hundred twenty".