9891360960 has 448 divisors, whose sum is σ = 35907293184. Its totient is φ = 2289254400.

The previous prime is 9891360959. The next prime is 9891360989. The reversal of 9891360960 is 690631989.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14314215 + ... + 14314905.

It is an arithmetic number, because the mean of its divisors is an integer number (80150208).

Almost surely, 2^9891360960 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 9891360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17953646592).

9891360960 is an abundant number, since it is smaller than the sum of its proper divisors (26015932224).

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

9891360960 is a wasteful number, since it uses less digits than its factorization.

9891360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 51.

The square root of 9891360960 is about 99455.3214262565. The cubic root of 9891360960 is about 2146.6044081751.

The spelling of 9891360960 in words is "nine billion, eight hundred ninety-one million, three hundred sixty thousand, nine hundred sixty".