11129079567 has 16 divisors (see below), whose sum is σ = 14933237760. Its totient is φ = 7372300512.

The previous prime is 11129079557. The next prime is 11129079587. The reversal of 11129079567 is 76597092111.

11129079567 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 11129079567 - 2⁶ = 11129079503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11129079557) 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, 291078 + ... + 327084.

It is an arithmetic number, because the mean of its divisors is an integer number (933327360).

Almost surely, 2^11129079567 is an apocalyptic number.

11129079567 is a deficient number, since it is larger than the sum of its proper divisors (3804158193).

11129079567 is a wasteful number, since it uses less digits than its factorization.

11129079567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36662.

The product of its (nonzero) digits is 238140, while the sum is 48.

The spelling of 11129079567 in words is "eleven billion, one hundred twenty-nine million, seventy-nine thousand, five hundred sixty-seven".