19420979200 has 672 divisors, whose sum is σ = 62407434240. Its totient is φ = 5839257600.

The previous prime is 19420979191. The next prime is 19420979209. The reversal of 19420979200 is 297902491.

It is an interprime number because it is at equal distance from previous prime (19420979191) and next prime (19420979209).

It is not an unprimeable number, because it can be changed into a prime (19420979209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 626483185 + ... + 626483215.

Almost surely, 2^19420979200 is an apocalyptic number.

19420979200 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 19420979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31203717120).

19420979200 is an abundant number, since it is smaller than the sum of its proper divisors (42986455040).

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

19420979200 is a wasteful number, since it uses less digits than its factorization.

19420979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The spelling of 19420979200 in words is "nineteen billion, four hundred twenty million, nine hundred seventy-nine thousand, two hundred".