11205116667 has 32 divisors (see below), whose sum is σ = 17107460160. Its totient is φ = 7243188480.

The previous prime is 11205116647. The next prime is 11205116683. The reversal of 11205116667 is 76661150211.

It is a happy number.

It is not a de Polignac number, because 11205116667 - 2⁷ = 11205116539 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11205116617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273567 + ... + 311847.

It is an arithmetic number, because the mean of its divisors is an integer number (534608130).

Almost surely, 2^11205116667 is an apocalyptic number.

11205116667 is a deficient number, since it is larger than the sum of its proper divisors (5902343493).

11205116667 is a wasteful number, since it uses less digits than its factorization.

11205116667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38620 (or 38614 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 11205116667 its reverse (76661150211), we get a palindrome (87866266878).

The spelling of 11205116667 in words is "eleven billion, two hundred five million, one hundred sixteen thousand, six hundred sixty-seven".