9991596960 has 144 divisors (see below), whose sum is σ = 34889478624. Its totient is φ = 2602446336.

The previous prime is 9991596929. The next prime is 9991596991. The reversal of 9991596960 is 696951999.

It is an interprime number because it is at equal distance from previous prime (9991596929) and next prime (9991596991).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×9991596960² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18762 + ... + 142601.

It is an arithmetic number, because the mean of its divisors is an integer number (242288046).

Almost surely, 2^9991596960 is an apocalyptic number.

9991596960 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 9991596960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17444739312).

9991596960 is an abundant number, since it is smaller than the sum of its proper divisors (24897881664).

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

9991596960 is a wasteful number, since it uses less digits than its factorization.

9991596960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161427 (or 161416 counting only the distinct ones).

The product of its (nonzero) digits is 10628820, while the sum is 63.

The square root of 9991596960 is about 99957.9759699045. The cubic root of 9991596960 is about 2153.8310608937.

The spelling of 9991596960 in words is "nine billion, nine hundred ninety-one million, five hundred ninety-six thousand, nine hundred sixty".