9885792000 has 576 divisors, whose sum is σ = 38447345664. Its totient is φ = 2204467200.

The previous prime is 9885791969. The next prime is 9885792001. The reversal of 9885792000 is 2975889.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9885792001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31583844 + ... + 31584156.

It is an arithmetic number, because the mean of its divisors is an integer number (66748864).

Almost surely, 2^9885792000 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 9885792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19223672832).

9885792000 is an abundant number, since it is smaller than the sum of its proper divisors (28561553664).

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

9885792000 is a wasteful number, since it uses less digits than its factorization.

9885792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 9885792000 is about 99427.3201891713. The cubic root of 9885792000 is about 2146.2014774993.

The spelling of 9885792000 in words is "nine billion, eight hundred eighty-five million, seven hundred ninety-two thousand".