11257266275211 has 16 divisors (see below), whose sum is σ = 16902405669888. Its totient is φ = 6602502213600.

The previous prime is 11257266275179. The next prime is 11257266275221.

11257266275211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11257266275211 - 2⁵ = 11257266275179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11257266275221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5502084156 + ... + 5502086201.

It is an arithmetic number, because the mean of its divisors is an integer number (1056400354368).

Almost surely, 2^{11257266275211} is an apocalyptic number.

11257266275211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11257266275211 is a deficient number, since it is larger than the sum of its proper divisors (5645139394677).

11257266275211 is a wasteful number, since it uses less digits than its factorization.

11257266275211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11004170402.

The product of its digits is 705600, while the sum is 48.

The spelling of 11257266275211 in words is "eleven trillion, two hundred fifty-seven billion, two hundred sixty-six million, two hundred seventy-five thousand, two hundred eleven".