11657355375611 has 16 divisors (see below), whose sum is σ = 13388350550400. Its totient is φ = 10038392280000.

The previous prime is 11657355375581. The next prime is 11657355375619.

11657355375611 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11657355375611 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11657355375619) by changing a digit.

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, 2520281 + ... + 5446698.

It is an arithmetic number, because the mean of its divisors is an integer number (836771909400).

Almost surely, 2^{11657355375611} is an apocalyptic number.

11657355375611 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11657355375611 is a deficient number, since it is larger than the sum of its proper divisors (1730995174789).

11657355375611 is a wasteful number, since it uses less digits than its factorization.

11657355375611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7974010.

The product of its digits is 9922500, while the sum is 56.

The spelling of 11657355375611 in words is "eleven trillion, six hundred fifty-seven billion, three hundred fifty-five million, three hundred seventy-five thousand, six hundred eleven".