11511582205397 has 16 divisors (see below), whose sum is σ = 11808114160128. Its totient is φ = 11216369913840.

The previous prime is 11511582205309. The next prime is 11511582205423. The reversal of 11511582205397 is 79350228511511.

It is a cyclic number.

It is not a de Polignac number, because 11511582205397 - 2²⁰ = 11511581156821 is a prime.

It is a super-2 number, since 2×11511582205397² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11511582205297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105915272 + ... + 106023902.

It is an arithmetic number, because the mean of its divisors is an integer number (738007135008).

Almost surely, 2^{11511582205397} is an apocalyptic number.

It is an amenable number.

11511582205397 is a deficient number, since it is larger than the sum of its proper divisors (296531954731).

11511582205397 is a wasteful number, since it uses less digits than its factorization.

11511582205397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114680.

The product of its (nonzero) digits is 756000, while the sum is 50.

The spelling of 11511582205397 in words is "eleven trillion, five hundred eleven billion, five hundred eighty-two million, two hundred five thousand, three hundred ninety-seven".