19916238720 has 512 divisors, whose sum is σ = 76001587200. Its totient is φ = 4341104640.

The previous prime is 19916238659. The next prime is 19916238721. The reversal of 19916238720 is 2783261991.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 19916238720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19916238721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25898496 + ... + 25899264.

It is an arithmetic number, because the mean of its divisors is an integer number (148440600).

Almost surely, 2^19916238720 is an apocalyptic number.

19916238720 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 19916238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38000793600).

19916238720 is an abundant number, since it is smaller than the sum of its proper divisors (56085348480).

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

19916238720 is a wasteful number, since it uses less digits than its factorization.

19916238720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 19916238720 in words is "nineteen billion, nine hundred sixteen million, two hundred thirty-eight thousand, seven hundred twenty".