9825988800 has 168 divisors, whose sum is σ = 33349539600. Its totient is φ = 2529873920.

The previous prime is 9825988793. The next prime is 9825988801. The reversal of 9825988800 is 88895289.

It is not an unprimeable number, because it can be changed into a prime (9825988801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103906 + ... + 174494.

Almost surely, 2^9825988800 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 9825988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16674769800).

9825988800 is an abundant number, since it is smaller than the sum of its proper divisors (23523550800).

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

9825988800 is a wasteful number, since it uses less digits than its factorization.

9825988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70643 (or 70628 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 57.

The square root of 9825988800 is about 99126.1257187024. The cubic root of 9825988800 is about 2141.8649710311.

The spelling of 9825988800 in words is "nine billion, eight hundred twenty-five million, nine hundred eighty-eight thousand, eight hundred".