9935595516 has 144 divisors (see below), whose sum is σ = 29411262720. Its totient is φ = 2536112640.

The previous prime is 9935595497. The next prime is 9935595517. The reversal of 9935595516 is 6155955399.

9935595516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9935595517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3214900 + ... + 3217988.

It is an arithmetic number, because the mean of its divisors is an integer number (204244880).

Almost surely, 2^9935595516 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 9935595516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14705631360).

9935595516 is an abundant number, since it is smaller than the sum of its proper divisors (19475667204).

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

9935595516 is a wasteful number, since it uses less digits than its factorization.

9935595516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232 (or 3171 counting only the distinct ones).

The product of its digits is 8201250, while the sum is 57.

The square root of 9935595516 is about 99677.4574113927. The cubic root of 9935595516 is about 2149.7995497995.

The spelling of 9935595516 in words is "nine billion, nine hundred thirty-five million, five hundred ninety-five thousand, five hundred sixteen".