19924601216 has 128 divisors (see below), whose sum is σ = 43861305600. Its totient is φ = 8958763008.

The previous prime is 19924601209. The next prime is 19924601219. The reversal of 19924601216 is 61210642991.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19924601219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13845425 + ... + 13846863.

It is an arithmetic number, because the mean of its divisors is an integer number (342666450).

Almost surely, 2^19924601216 is an apocalyptic number.

19924601216 is a gapful number since it is divisible by the number (16) 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 19924601216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21930652800).

19924601216 is an abundant number, since it is smaller than the sum of its proper divisors (23936704384).

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

19924601216 is a wasteful number, since it uses less digits than its factorization.

19924601216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The spelling of 19924601216 in words is "nineteen billion, nine hundred twenty-four million, six hundred one thousand, two hundred sixteen".