9985632000 has 576 divisors, whose sum is σ = 35355640320. Its totient is φ = 2494464000.

The previous prime is 9985631987. The next prime is 9985632011. The reversal of 9985632000 is 2365899.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169247971 + ... + 169248029.

It is an arithmetic number, because the mean of its divisors is an integer number (61381320).

Almost surely, 2^9985632000 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 9985632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677820160).

9985632000 is an abundant number, since it is smaller than the sum of its proper divisors (25370008320).

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

9985632000 is a wasteful number, since it uses less digits than its factorization.

9985632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 9985632000 is about 99928.1341765171. The cubic root of 9985632000 is about 2153.4023648714.

Adding to 9985632000 its reverse (2365899), we get a palindrome (9987997899).

The spelling of 9985632000 in words is "nine billion, nine hundred eighty-five million, six hundred thirty-two thousand".