9965965718016 has 640 divisors, whose sum is σ = 37069261701120. Its totient is φ = 2568145305600.

The previous prime is 9965965717997. The next prime is 9965965718021. The reversal of 9965965718016 is 6108175695699.

9965965718016 is a `hidden beast` number, since 9 + 9 + 6 + 596 + 5 + 7 + 18 + 0 + 16 = 666.

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 63 ways as a sum of consecutive naturals, for example, 135148036 + ... + 135221756.

It is an arithmetic number, because the mean of its divisors is an integer number (57920721408).

Almost surely, 2^{9965965718016} is an apocalyptic number.

9965965718016 is a gapful number since it is divisible by the number (96) 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 9965965718016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18534630850560).

9965965718016 is an abundant number, since it is smaller than the sum of its proper divisors (27103295983104).

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

9965965718016 is a wasteful number, since it uses less digits than its factorization.

9965965718016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73893 (or 73871 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 72.

The spelling of 9965965718016 in words is "nine trillion, nine hundred sixty-five billion, nine hundred sixty-five million, seven hundred eighteen thousand, sixteen".