9985560352 has 72 divisors (see below), whose sum is σ = 20793894912. Its totient is φ = 4719600000.

The previous prime is 9985560349. The next prime is 9985560353. The reversal of 9985560352 is 2530655899.

It is a super-2 number, since 2×9985560352² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9985560352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9985560353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8674977 + ... + 8676127.

It is an arithmetic number, because the mean of its divisors is an integer number (288804096).

Almost surely, 2^9985560352 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 9985560352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10396947456).

9985560352 is an abundant number, since it is smaller than the sum of its proper divisors (10808334560).

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

9985560352 is a wasteful number, since it uses less digits than its factorization.

9985560352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 52.

The square root of 9985560352 is about 99927.7756782367. The cubic root of 9985560352 is about 2153.3972145601.

The spelling of 9985560352 in words is "nine billion, nine hundred eighty-five million, five hundred sixty thousand, three hundred fifty-two".