9665120900 has 18 divisors (see below), whose sum is σ = 20973312570. Its totient is φ = 3866048320.

The previous prime is 9665120893. The next prime is 9665120909. The reversal of 9665120900 is 90215669.

It can be written as a sum of positive squares in 3 ways, for example, as 1537737796 + 8127383104 = 39214^2 + 90152^2 .

It is not an unprimeable number, because it can be changed into a prime (9665120909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48325505 + ... + 48325704.

Almost surely, 2^9665120900 is an apocalyptic number.

It is an amenable number.

9665120900 is an abundant number, since it is smaller than the sum of its proper divisors (11308191670).

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

9665120900 is a wasteful number, since it uses less digits than its factorization.

9665120900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96651223 (or 96651216 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 9665120900 is about 98311.3467510236. The cubic root of 9665120900 is about 2130.1119574969. Note that the first 3 decimals are identical.

The spelling of 9665120900 in words is "nine billion, six hundred sixty-five million, one hundred twenty thousand, nine hundred".