19959888960 has 672 divisors, whose sum is σ = 77964816384. Its totient is φ = 4683571200.

The previous prime is 19959888953. The next prime is 19959889009. The reversal of 19959888960 is 6988895991.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 157164417 + ... + 157164543.

It is an arithmetic number, because the mean of its divisors is an integer number (116019072).

Almost surely, 2^19959888960 is an apocalyptic number.

19959888960 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 19959888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38982408192).

19959888960 is an abundant number, since it is smaller than the sum of its proper divisors (58004927424).

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

19959888960 is a wasteful number, since it uses less digits than its factorization.

19959888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 72.

The spelling of 19959888960 in words is "nineteen billion, nine hundred fifty-nine million, eight hundred eighty-eight thousand, nine hundred sixty".