10917533168 has 80 divisors (see below), whose sum is σ = 22068275040. Its totient is φ = 5227757568.

The previous prime is 10917533167. The next prime is 10917533173. The reversal of 10917533168 is 86133571901.

10917533168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 104487²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10917533167) 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 15 ways as a sum of consecutive naturals, for example, 18598571 + ... + 18599157.

It is an arithmetic number, because the mean of its divisors is an integer number (275853438).

Almost surely, 2^10917533168 is an apocalyptic number.

It is an amenable number.

10917533168 is an abundant number, since it is smaller than the sum of its proper divisors (11150741872).

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

10917533168 is a wasteful number, since it uses less digits than its factorization.

10917533168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 44.

The spelling of 10917533168 in words is "ten billion, nine hundred seventeen million, five hundred thirty-three thousand, one hundred sixty-eight".