9925198400 has 168 divisors, whose sum is σ = 27848920680. Its totient is φ = 3448995840.

The previous prime is 9925198379. The next prime is 9925198427. The reversal of 9925198400 is 48915299.

It can be written as a sum of positive squares in 12 ways, for example, as 5031916096 + 4893282304 = 70936^2 + 69952^2 .

It is a congruent number.

It is an unprimeable number.

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, 339566 + ... + 367634.

It is an arithmetic number, because the mean of its divisors is an integer number (165767385).

Almost surely, 2^9925198400 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 9925198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13924460340).

9925198400 is an abundant number, since it is smaller than the sum of its proper divisors (17923722280).

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

9925198400 is a wasteful number, since it uses less digits than its factorization.

9925198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28121 (or 28106 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 47.

The square root of 9925198400 is about 99625.2899619369. The cubic root of 9925198400 is about 2149.0494012904.

The spelling of 9925198400 in words is "nine billion, nine hundred twenty-five million, one hundred ninety-eight thousand, four hundred".