9990289084720 has 160 divisors (see below), whose sum is σ = 26582267197440. Its totient is φ = 3420517601280.

The previous prime is 9990289084693. The next prime is 9990289084729. The reversal of 9990289084720 is 274809820999.

9990289084720 = T₁ + T₂ + ... + T₃₉₁₃₅.

9990289084720 is a nontrivial binomial coefficient, being equal to C(39137, 3).

It is not an unprimeable number, because it can be changed into a prime (9990289084729) by changing a digit.

It is the 39135-th tetrahedral 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 31 ways as a sum of consecutive naturals, for example, 1786849125 + ... + 1786854715.

It is an arithmetic number, because the mean of its divisors is an integer number (166139169984).

Almost surely, 2^{9990289084720} 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 9990289084720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13291133598720).

9990289084720 is an abundant number, since it is smaller than the sum of its proper divisors (16591978112720).

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

9990289084720 is a wasteful number, since it uses less digits than its factorization.

9990289084720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9443 (or 9437 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 67.

The spelling of 9990289084720 in words is "nine trillion, nine hundred ninety billion, two hundred eighty-nine million, eighty-four thousand, seven hundred twenty".