11066338965375 has 256 divisors, whose sum is σ = 21537281525760. Its totient is φ = 5601597120000.

The previous prime is 11066338965371. The next prime is 11066338965397. The reversal of 11066338965375 is 57356983366011.

11066338965375 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 6 + 3 + 3 + 8 + 96 + 537 + 5 = 666.

It is not a de Polignac number, because 11066338965375 - 2² = 11066338965371 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11066338965371) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 734760345 + ... + 734775405.

It is an arithmetic number, because the mean of its divisors is an integer number (84130005960).

Almost surely, 2^{11066338965375} is an apocalyptic number.

11066338965375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11066338965375 is a deficient number, since it is larger than the sum of its proper divisors (10470942560385).

11066338965375 is a wasteful number, since it uses less digits than its factorization.

11066338965375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15272 (or 15256 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 11066338965375 in words is "eleven trillion, sixty-six billion, three hundred thirty-eight million, nine hundred sixty-five thousand, three hundred seventy-five".