9961382592 has 252 divisors, whose sum is σ = 33894765840. Its totient is φ = 2845269504.

The previous prime is 9961382581. The next prime is 9961382647. The reversal of 9961382592 is 2952831699.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2937634 + ... + 2941022.

Almost surely, 2^9961382592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9961382592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16947382920).

9961382592 is an abundant number, since it is smaller than the sum of its proper divisors (23933383248).

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

9961382592 is an frugal number, since it uses more digits than its factorization.

9961382592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3401 counting only the distinct ones).

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

The square root of 9961382592 is about 99806.7261861644. The cubic root of 9961382592 is about 2151.6578229970.

The spelling of 9961382592 in words is "nine billion, nine hundred sixty-one million, three hundred eighty-two thousand, five hundred ninety-two".