9995892000 has 192 divisors, whose sum is σ = 34171248384. Its totient is φ = 2549606400.

The previous prime is 9995891951. The next prime is 9995892017. The reversal of 9995892000 is 2985999.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257892 + ... + 294108.

It is an arithmetic number, because the mean of its divisors is an integer number (177975252).

Almost surely, 2^9995892000 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 9995892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17085624192).

9995892000 is an abundant number, since it is smaller than the sum of its proper divisors (24175356384).

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

9995892000 is a wasteful number, since it uses less digits than its factorization.

9995892000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36268 (or 36250 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 51.

The square root of 9995892000 is about 99979.4578901086. The cubic root of 9995892000 is about 2154.1396357019.

The spelling of 9995892000 in words is "nine billion, nine hundred ninety-five million, eight hundred ninety-two thousand".