9665989200 has 1200 divisors, whose sum is σ = 44205384960. Its totient is φ = 1970749440.

The previous prime is 9665989141. The next prime is 9665989211. The reversal of 9665989200 is 29895669.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 88678746 + ... + 88678854.

Almost surely, 2^9665989200 is an apocalyptic number.

9665989200 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 9665989200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22102692480).

9665989200 is an abundant number, since it is smaller than the sum of its proper divisors (34539395760).

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

9665989200 is a wasteful number, since it uses less digits than its factorization.

9665989200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 9665989200 is about 98315.7627239905. The cubic root of 9665989200 is about 2130.1757442771.

The spelling of 9665989200 in words is "nine billion, six hundred sixty-five million, nine hundred eighty-nine thousand, two hundred".