9906825000 has 192 divisors, whose sum is σ = 31962954240. Its totient is φ = 2556000000.

The previous prime is 9906824981. The next prime is 9906825007. The reversal of 9906825000 is 5286099.

It is a happy number.

9906825000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 9906825000.

It is not an unprimeable number, because it can be changed into a prime (9906825007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2322870 + ... + 2327130.

It is an arithmetic number, because the mean of its divisors is an integer number (166473720).

Almost surely, 2^9906825000 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 9906825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15981477120).

9906825000 is an abundant number, since it is smaller than the sum of its proper divisors (22056129240).

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

9906825000 is a wasteful number, since it uses less digits than its factorization.

9906825000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 9906825000 is about 99533.0347171229. The cubic root of 9906825000 is about 2147.7224845986.

The spelling of 9906825000 in words is "nine billion, nine hundred six million, eight hundred twenty-five thousand".