9905712560 has 40 divisors (see below), whose sum is σ = 23036323200. Its totient is φ = 3961331712.

The previous prime is 9905712533. The next prime is 9905712577. The reversal of 9905712560 is 652175099.

It is a happy number.

9905712560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 387041 + ... + 411839.

It is an arithmetic number, because the mean of its divisors is an integer number (575908080).

Almost surely, 2^9905712560 is an apocalyptic number.

It is an amenable number.

9905712560 is an abundant number, since it is smaller than the sum of its proper divisors (13130610640).

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

9905712560 is a wasteful number, since it uses less digits than its factorization.

9905712560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29805 (or 29799 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 44.

The square root of 9905712560 is about 99527.4462648369. The cubic root of 9905712560 is about 2147.6420921474.

The spelling of 9905712560 in words is "nine billion, nine hundred five million, seven hundred twelve thousand, five hundred sixty".