19881268992 has 288 divisors, whose sum is σ = 63995677760. Its totient is φ = 6051594240.

The previous prime is 19881268991. The next prime is 19881268997. The reversal of 19881268992 is 29986218891.

It is a tau number, because it is divible by the number of its divisors (288).

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 (19881268991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8714892 + ... + 8717172.

Almost surely, 2^19881268992 is an apocalyptic number.

19881268992 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 19881268992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31997838880).

19881268992 is an abundant number, since it is smaller than the sum of its proper divisors (44114408768).

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

19881268992 is a wasteful number, since it uses less digits than its factorization.

19881268992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2396 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 63.

The spelling of 19881268992 in words is "nineteen billion, eight hundred eighty-one million, two hundred sixty-eight thousand, nine hundred ninety-two".