9960968385 has 16 divisors (see below), whose sum is σ = 17708388480. Its totient is φ = 5312516400.

The previous prime is 9960968371. The next prime is 9960968417. The reversal of 9960968385 is 5838690699.

It is not a de Polignac number, because 9960968385 - 2¹⁰ = 9960967361 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36892341 + ... + 36892610.

It is an arithmetic number, because the mean of its divisors is an integer number (1106774280).

Almost surely, 2^9960968385 is an apocalyptic number.

It is an amenable number.

9960968385 is a deficient number, since it is larger than the sum of its proper divisors (7747420095).

9960968385 is a wasteful number, since it uses less digits than its factorization.

9960968385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73784965 (or 73784959 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The square root of 9960968385 is about 99804.6511190736. The cubic root of 9960968385 is about 2151.6279996910.

The spelling of 9960968385 in words is "nine billion, nine hundred sixty million, nine hundred sixty-eight thousand, three hundred eighty-five".