11538873265305 has 16 divisors (see below), whose sum is σ = 18855009932544. Its totient is φ = 6023128172160.

The previous prime is 11538873265291. The next prime is 11538873265343. The reversal of 11538873265305 is 50356237883511.

It is not a de Polignac number, because 11538873265305 - 2⁴ = 11538873265289 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8183597356 + ... + 8183598765.

It is an arithmetic number, because the mean of its divisors is an integer number (1178438120784).

Almost surely, 2^{11538873265305} is an apocalyptic number.

11538873265305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11538873265305 is a deficient number, since it is larger than the sum of its proper divisors (7316136667239).

11538873265305 is a wasteful number, since it uses less digits than its factorization.

11538873265305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16367196176.

The product of its (nonzero) digits is 18144000, while the sum is 57.

The spelling of 11538873265305 in words is "eleven trillion, five hundred thirty-eight billion, eight hundred seventy-three million, two hundred sixty-five thousand, three hundred five".