9990923304960 has 1680 divisors, whose sum is σ = 41046661501776. Its totient is φ = 2311581597696.

The previous prime is 9990923304959. The next prime is 9990923304991. The reversal of 9990923304960 is 694033290999.

9990923304960 is a `hidden beast` number, since 9 + 9 + 90 + 9 + 23 + 30 + 496 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 34828517376 + 9956094787584 = 186624^2 + 3155328^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13198048902 + ... + 13198049658.

Almost surely, 2^{9990923304960} is an apocalyptic number.

9990923304960 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 9990923304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20523330750888).

9990923304960 is an abundant number, since it is smaller than the sum of its proper divisors (31055738196816).

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

9990923304960 is an equidigital number, since it uses as much as digits as its factorization.

9990923304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 25509168, while the sum is 63.

The spelling of 9990923304960 in words is "nine trillion, nine hundred ninety billion, nine hundred twenty-three million, three hundred four thousand, nine hundred sixty".