19881789200 has 480 divisors, whose sum is σ = 61221081600. Its totient is φ = 6164121600.

The previous prime is 19881789157. The next prime is 19881789211. The reversal of 19881789200 is 298718891.

It is a happy 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, 126635522 + ... + 126635678.

It is an arithmetic number, because the mean of its divisors is an integer number (127543920).

Almost surely, 2^19881789200 is an apocalyptic number.

19881789200 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 19881789200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30610540800).

19881789200 is an abundant number, since it is smaller than the sum of its proper divisors (41339292400).

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

19881789200 is a wasteful number, since it uses less digits than its factorization.

19881789200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 53.

It can be divided in two parts, 1988 and 1789200, that multiplied together give a square (3556929600 = 59640²).

The spelling of 19881789200 in words is "nineteen billion, eight hundred eighty-one million, seven hundred eighty-nine thousand, two hundred".