9917288270352 has 120 divisors (see below), whose sum is σ = 30239277732000. Its totient is φ = 3111306084864.

The previous prime is 9917288270327. The next prime is 9917288270353. The reversal of 9917288270352 is 2530728827199.

9917288270352 is a `hidden beast` number, since 9 + 9 + 1 + 7 + 2 + 8 + 8 + 270 + 352 = 666.

It is a super-2 number, since 2×9917288270352² (a number of 27 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 9917288270352.

It is not an unprimeable number, because it can be changed into a prime (9917288270353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39592602 + ... + 39842297.

It is an arithmetic number, because the mean of its divisors is an integer number (251993981100).

Almost surely, 2^{9917288270352} is an apocalyptic number.

It is an amenable number.

9917288270352 is an abundant number, since it is smaller than the sum of its proper divisors (20321989461648).

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

9917288270352 is a wasteful number, since it uses less digits than its factorization.

9917288270352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79434950 (or 79434921 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 9917288270352 in words is "nine trillion, nine hundred seventeen billion, two hundred eighty-eight million, two hundred seventy thousand, three hundred fifty-two".