10940766166593 has 12 divisors (see below), whose sum is σ = 15803394984468. Its totient is φ = 7293813613920.

The previous prime is 10940766166559. The next prime is 10940766166619. The reversal of 10940766166593 is 39566166704901.

10940766166593 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 0 + 7 + 6 + 616 + 6 + 5 + 9 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 440269406784 + 10500496759809 = 663528^2 + 3240447^2 .

It is not a de Polignac number, because 10940766166593 - 2¹⁰ = 10940766165569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10940766166593.

It is not an unprimeable number, because it can be changed into a prime (10940766266593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151030 + ... + 4680207.

It is an arithmetic number, because the mean of its divisors is an integer number (1316949582039).

Almost surely, 2^{10940766166593} is an apocalyptic number.

It is an amenable number.

10940766166593 is a deficient number, since it is larger than the sum of its proper divisors (4862628817875).

10940766166593 is a wasteful number, since it uses less digits than its factorization.

10940766166593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5082864 (or 5082861 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 10940766166593 in words is "ten trillion, nine hundred forty billion, seven hundred sixty-six million, one hundred sixty-six thousand, five hundred ninety-three".