11566172761 has 16 divisors (see below), whose sum is σ = 13609471680. Its totient is φ = 9690707520.

The previous prime is 11566172741. The next prime is 11566172831. The reversal of 11566172761 is 16727166511.

It is a happy number.

11566172761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11566172761 - 2⁹ = 11566172249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11566172701) 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, 29055 + ... + 154843.

It is an arithmetic number, because the mean of its divisors is an integer number (850591980).

Almost surely, 2^11566172761 is an apocalyptic number.

11566172761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11566172761 is a deficient number, since it is larger than the sum of its proper divisors (2043298919).

11566172761 is a wasteful number, since it uses less digits than its factorization.

11566172761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126456.

The product of its digits is 105840, while the sum is 43.

The spelling of 11566172761 in words is "eleven billion, five hundred sixty-six million, one hundred seventy-two thousand, seven hundred sixty-one".