9989523291040 has 192 divisors, whose sum is σ = 25040252805120. Its totient is φ = 3752982937600.

The previous prime is 9989523291029. The next prime is 9989523291067. The reversal of 9989523291040 is 401923259899.

9989523291040 = T₁ + T₂ + ... + T₃₉₁₃₄.

9989523291040 is a nontrivial binomial coefficient, being equal to C(39136, 3).

It is a self number, because there is not a number n which added to its sum of digits gives 9989523291040.

It is an unprimeable number.

It is the 39134-th tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3828869256 + ... + 3828871864.

It is an arithmetic number, because the mean of its divisors is an integer number (130417983360).

Almost surely, 2^{9989523291040} 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 9989523291040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12520126402560).

9989523291040 is an abundant number, since it is smaller than the sum of its proper divisors (15050729514080).

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

9989523291040 is a wasteful number, since it uses less digits than its factorization.

9989523291040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5015 (or 5007 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 61.

The spelling of 9989523291040 in words is "nine trillion, nine hundred eighty-nine billion, five hundred twenty-three million, two hundred ninety-one thousand, forty".