9990909505600 has 189 divisors, whose sum is σ = 25952109595677. Its totient is φ = 3785118543360.

The previous prime is 9990909505597. The next prime is 9990909505649. The reversal of 9990909505600 is 65059090999.

The square root of 9990909505600 is 3160840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3596727422016 + 6394182083584 = 1896504^2 + 2528672^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2402236321 + ... + 2402240479.

Almost surely, 2^{9990909505600} is an apocalyptic number.

9990909505600 is the 3160840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9990909505600

9990909505600 is an abundant number, since it is smaller than the sum of its proper divisors (15961200090077).

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

9990909505600 is an frugal number, since it uses more digits than its factorization.

9990909505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8378 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 8857350, while the sum is 61.

The spelling of 9990909505600 in words is "nine trillion, nine hundred ninety billion, nine hundred nine million, five hundred five thousand, six hundred".