19878768000 has 1536 divisors, whose sum is σ = 92439809280. Its totient is φ = 3981312000.

The previous prime is 19878767983. The next prime is 19878768047. The reversal of 19878768000 is 86787891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 484847980 + ... + 484848020.

Almost surely, 2^19878768000 is an apocalyptic number.

19878768000 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 19878768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46219904640).

19878768000 is an abundant number, since it is smaller than the sum of its proper divisors (72561041280).

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

19878768000 is a wasteful number, since it uses less digits than its factorization.

19878768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 19878768000 in words is "nineteen billion, eight hundred seventy-eight million, seven hundred sixty-eight thousand".