19871728128 has 720 divisors, whose sum is σ = 73354305024. Its totient is φ = 5140316160.

The previous prime is 19871728127. The next prime is 19871728141. The reversal of 19871728128 is 82182717891.

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

It is not an unprimeable number, because it can be changed into a prime (19871728127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 118992301 + ... + 118992467.

Almost surely, 2^19871728128 is an apocalyptic number.

19871728128 is a gapful number since it is divisible by the number (18) 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 19871728128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36677152512).

19871728128 is an abundant number, since it is smaller than the sum of its proper divisors (53482576896).

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

19871728128 is a wasteful number, since it uses less digits than its factorization.

19871728128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 227 counting only the distinct ones).

The product of its digits is 903168, while the sum is 54.

The spelling of 19871728128 in words is "nineteen billion, eight hundred seventy-one million, seven hundred twenty-eight thousand, one hundred twenty-eight".