9975292800 has 192 divisors, whose sum is σ = 35843420160. Its totient is φ = 2418227200.

The previous prime is 9975292799. The next prime is 9975292801. The reversal of 9975292800 is 82925799.

It is an interprime number because it is at equal distance from previous prime (9975292799) and next prime (9975292801).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9975292801) 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, 58369 + ... + 152831.

It is an arithmetic number, because the mean of its divisors is an integer number (186684480).

Almost surely, 2^9975292800 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 9975292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17921710080).

9975292800 is an abundant number, since it is smaller than the sum of its proper divisors (25868127360).

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

9975292800 is a wasteful number, since it uses less digits than its factorization.

9975292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94501 (or 94484 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 9975292800 is about 99876.3875998727. The cubic root of 9975292800 is about 2152.6588917687.

The spelling of 9975292800 in words is "nine billion, nine hundred seventy-five million, two hundred ninety-two thousand, eight hundred".