19921984992 has 720 divisors, whose sum is σ = 74326079520. Its totient is φ = 5123948544.

The previous prime is 19921984991. The next prime is 19921985023. The reversal of 19921984992 is 29948912991.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19921984991) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 223842484 + ... + 223842572.

It is an arithmetic number, because the mean of its divisors is an integer number (103230666).

Almost surely, 2^19921984992 is an apocalyptic number.

19921984992 is a gapful number since it is divisible by the number (12) 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 19921984992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37163039760).

19921984992 is an abundant number, since it is smaller than the sum of its proper divisors (54404094528).

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

19921984992 is a wasteful number, since it uses less digits than its factorization.

19921984992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 187 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 63.

The spelling of 19921984992 in words is "nineteen billion, nine hundred twenty-one million, nine hundred eighty-four thousand, nine hundred ninety-two".