9961195200 has 336 divisors, whose sum is σ = 36097439616. Its totient is φ = 2384691200.

The previous prime is 9961195183. The next prime is 9961195213. The reversal of 9961195200 is 25911699.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4381264 + ... + 4383536.

It is an arithmetic number, because the mean of its divisors is an integer number (107432856).

Almost surely, 2^9961195200 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 9961195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18048719808).

9961195200 is an abundant number, since it is smaller than the sum of its proper divisors (26136244416).

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

9961195200 is a wasteful number, since it uses less digits than its factorization.

9961195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 42.

The square root of 9961195200 is about 99805.7874073443. The cubic root of 9961195200 is about 2151.6443306936.

The spelling of 9961195200 in words is "nine billion, nine hundred sixty-one million, one hundred ninety-five thousand, two hundred".