11657656580819 has 2 divisors, whose sum is σ = 11657656580820. Its totient is φ = 11657656580818.

The previous prime is 11657656580789. The next prime is 11657656580831. The reversal of 11657656580819 is 91808565675611.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11657656580819 is a prime.

It is a super-3 number, since 3×11657656580819³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (11657656580719) 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 as a sum of consecutive naturals, namely, 5828828290409 + 5828828290410.

It is an arithmetic number, because the mean of its divisors is an integer number (5828828290410).

Almost surely, 2^{11657656580819} is an apocalyptic number.

11657656580819 is a deficient number, since it is larger than the sum of its proper divisors (1).

11657656580819 is an equidigital number, since it uses as much as digits as its factorization.

11657656580819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864000, while the sum is 68.

The spelling of 11657656580819 in words is "eleven trillion, six hundred fifty-seven billion, six hundred fifty-six million, five hundred eighty thousand, eight hundred nineteen".