9971913960 has 96 divisors (see below), whose sum is σ = 33020268840. Its totient is φ = 2608998912.

The previous prime is 9971913947. The next prime is 9971913967. The reversal of 9971913960 is 693191799.

9971913960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8829609156 + 1142304804 = 93966^2 + 33798^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9971913897 and 9971913906.

It is not an unprimeable number, because it can be changed into a prime (9971913967) 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 23 ways as a sum of consecutive naturals, for example, 242239 + ... + 280398.

Almost surely, 2^9971913960 is an apocalyptic number.

9971913960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9971913960 is an abundant number, since it is smaller than the sum of its proper divisors (23048354880).

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

9971913960 is a wasteful number, since it uses less digits than its factorization.

9971913960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522707 (or 522700 counting only the distinct ones).

The product of its (nonzero) digits is 826686, while the sum is 54.

The square root of 9971913960 is about 99859.4710580824. The cubic root of 9971913960 is about 2152.4158141469.

The spelling of 9971913960 in words is "nine billion, nine hundred seventy-one million, nine hundred thirteen thousand, nine hundred sixty".