9965445120 has 224 divisors, whose sum is σ = 35434463040. Its totient is φ = 2657157120.

The previous prime is 9965445079. The next prime is 9965445167. The reversal of 9965445120 is 215445699.

9965445120 is a `hidden beast` number, since 9 + 96 + 5 + 44 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1101415 + ... + 1110425.

Almost surely, 2^9965445120 is an apocalyptic number.

9965445120 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 9965445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17717231520).

9965445120 is an abundant number, since it is smaller than the sum of its proper divisors (25469017920).

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

9965445120 is an equidigital number, since it uses as much as digits as its factorization.

9965445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9051 (or 9021 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 9965445120 is about 99827.0760866009. The cubic root of 9965445120 is about 2151.9502851475.

The spelling of 9965445120 in words is "nine billion, nine hundred sixty-five million, four hundred forty-five thousand, one hundred twenty".