19965516768 has 192 divisors, whose sum is σ = 63276595200. Its totient is φ = 6101360640.

The previous prime is 19965516719. The next prime is 19965516773. The reversal of 19965516768 is 86761556991.

19965516768 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 551 + 6 + 76 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489280 + ... + 528512.

It is an arithmetic number, because the mean of its divisors is an integer number (329565600).

Almost surely, 2^19965516768 is an apocalyptic number.

19965516768 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 19965516768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31638297600).

19965516768 is an abundant number, since it is smaller than the sum of its proper divisors (43311078432).

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

19965516768 is a wasteful number, since it uses less digits than its factorization.

19965516768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39302 (or 39288 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 63.

The spelling of 19965516768 in words is "nineteen billion, nine hundred sixty-five million, five hundred sixteen thousand, seven hundred sixty-eight".