9963750850560 has 2304 divisors, whose sum is σ = 41605719966720. Its totient is φ = 2270303354880.

The previous prime is 9963750850523. The next prime is 9963750850601. The reversal of 9963750850560 is 650580573699.

9963750850560 is a `hidden beast` number, since 9 + 9 + 63 + 7 + 5 + 0 + 8 + 5 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 321411317745 + ... + 321411317775.

It is an arithmetic number, because the mean of its divisors is an integer number (18058038180).

Almost surely, 2^{9963750850560} is an apocalyptic number.

9963750850560 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 9963750850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20802859983360).

9963750850560 is an abundant number, since it is smaller than the sum of its proper divisors (31641969116160).

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

9963750850560 is an frugal number, since it uses more digits than its factorization.

9963750850560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 9963750850560 in words is "nine trillion, nine hundred sixty-three billion, seven hundred fifty million, eight hundred fifty thousand, five hundred sixty".