9892016000 has 128 divisors (see below), whose sum is σ = 25443288000. Its totient is φ = 3820185600.

The previous prime is 9892015993. The next prime is 9892016009. The reversal of 9892016000 is 6102989.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9892016009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453341 + ... + 474659.

Almost surely, 2^9892016000 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 9892016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12721644000).

9892016000 is an abundant number, since it is smaller than the sum of its proper divisors (15551272000).

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

9892016000 is a wasteful number, since it uses less digits than its factorization.

9892016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21377 (or 21355 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 9892016000 is about 99458.6145087493. The cubic root of 9892016000 is about 2146.6517923089.

Adding to 9892016000 its reverse (6102989), we get a palindrome (9898118989).

The spelling of 9892016000 in words is "nine billion, eight hundred ninety-two million, sixteen thousand".