11657656580825 has 48 divisors (see below), whose sum is σ = 15670092288000. Its totient is φ = 8575581119040.

The previous prime is 11657656580819. The next prime is 11657656580831. The reversal of 11657656580825 is 52808565675611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11657656580819) and next prime (11657656580831).

It is not a de Polignac number, because 11657656580825 - 2¹⁰ = 11657656579801 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 47 ways as a sum of consecutive naturals, for example, 418769 + ... + 4846718.

It is an arithmetic number, because the mean of its divisors is an integer number (326460256000).

Almost surely, 2^{11657656580825} is an apocalyptic number.

It is an amenable number.

11657656580825 is a deficient number, since it is larger than the sum of its proper divisors (4012435707175).

11657656580825 is a wasteful number, since it uses less digits than its factorization.

11657656580825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265654 (or 5265649 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 65.

The spelling of 11657656580825 in words is "eleven trillion, six hundred fifty-seven billion, six hundred fifty-six million, five hundred eighty thousand, eight hundred twenty-five".