9915250800 has 960 divisors, whose sum is σ = 42157301760. Its totient is φ = 1935360000.

The previous prime is 9915250789. The next prime is 9915250817. The reversal of 9915250800 is 80525199.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 98170750 + ... + 98170850.

It is an arithmetic number, because the mean of its divisors is an integer number (43913856).

Almost surely, 2^9915250800 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 9915250800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21078650880).

9915250800 is an abundant number, since it is smaller than the sum of its proper divisors (32242050960).

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

9915250800 is a wasteful number, since it uses less digits than its factorization.

9915250800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The square root of 9915250800 is about 99575.3523719600. The cubic root of 9915250800 is about 2148.3311946616.

Adding to 9915250800 its reverse (80525199), we get a palindrome (9995775999).

The spelling of 9915250800 in words is "nine billion, nine hundred fifteen million, two hundred fifty thousand, eight hundred".