10731311766 has 24 divisors (see below), whose sum is σ = 26572772304. Its totient is φ = 3066089040.

The previous prime is 10731311743. The next prime is 10731311797. The reversal of 10731311766 is 66711313701.

It is a happy number.

It is a super-2 number, since 2×10731311766² (a number of 21 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 10731311766.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42584445 + ... + 42584696.

It is an arithmetic number, because the mean of its divisors is an integer number (1107198846).

Almost surely, 2^10731311766 is an apocalyptic number.

10731311766 is an abundant number, since it is smaller than the sum of its proper divisors (15841460538).

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

10731311766 is a wasteful number, since it uses less digits than its factorization.

10731311766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85169156 (or 85169153 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 10731311766 in words is "ten billion, seven hundred thirty-one million, three hundred eleven thousand, seven hundred sixty-six".