9965695392000 has 864 divisors, whose sum is σ = 39620127456000. Its totient is φ = 2392419532800.

The previous prime is 9965695391941. The next prime is 9965695392001. The reversal of 9965695392000 is 2935965699.

9965695392000 is a `hidden beast` number, since 9 + 96 + 5 + 6 + 9 + 539 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×9965695392000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9965695392001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112563751 + ... + 112652249.

It is an arithmetic number, because the mean of its divisors is an integer number (45856629000).

Almost surely, 2^{9965695392000} is an apocalyptic number.

9965695392000 is a gapful number since it is divisible by the number (90) 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 9965695392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19810063728000).

9965695392000 is an abundant number, since it is smaller than the sum of its proper divisors (29654432064000).

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

9965695392000 is a wasteful number, since it uses less digits than its factorization.

9965695392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88576 (or 88549 counting only the distinct ones).

The product of its (nonzero) digits is 35429400, while the sum is 63.

The spelling of 9965695392000 in words is "nine trillion, nine hundred sixty-five billion, six hundred ninety-five million, three hundred ninety-two thousand".