9825849600 has 432 divisors, whose sum is σ = 38352961920. Its totient is φ = 2167603200.

The previous prime is 9825849599. The next prime is 9825849613. The reversal of 9825849600 is 69485289.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3896340 + ... + 3898860.

Almost surely, 2^9825849600 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 9825849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19176480960).

9825849600 is an abundant number, since it is smaller than the sum of its proper divisors (28527112320).

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

9825849600 is a wasteful number, since it uses less digits than its factorization.

9825849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 9825849600 is about 99125.4235804317. The cubic root of 9825849600 is about 2141.8548567306.

The spelling of 9825849600 in words is "nine billion, eight hundred twenty-five million, eight hundred forty-nine thousand, six hundred".