11205761161 has 8 divisors (see below), whose sum is σ = 13363392384. Its totient is φ = 9187332000.

The previous prime is 11205761137. The next prime is 11205761201. The reversal of 11205761161 is 16116750211.

11205761161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 11205761161 - 2¹⁵ = 11205728393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11205761111) 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 7 ways as a sum of consecutive naturals, for example, 34800340 + ... + 34800661.

It is an arithmetic number, because the mean of its divisors is an integer number (1670424048).

Almost surely, 2^11205761161 is an apocalyptic number.

It is an amenable number.

11205761161 is a deficient number, since it is larger than the sum of its proper divisors (2157631223).

11205761161 is an equidigital number, since it uses as much as digits as its factorization.

11205761161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69601031.

The product of its (nonzero) digits is 2520, while the sum is 31.

The spelling of 11205761161 in words is "eleven billion, two hundred five million, seven hundred sixty-one thousand, one hundred sixty-one".