11579897511 has 192 divisors, whose sum is σ = 22823055360. Its totient is φ = 5741487360.

The previous prime is 11579897507. The next prime is 11579897521.

11579897511 is a `hidden beast` number, since 11 + 579 + 8 + 9 + 7 + 51 + 1 = 666.

11579897511 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11579897511 - 2² = 11579897507 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11579897501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19726960 + ... + 19727546.

It is an arithmetic number, because the mean of its divisors is an integer number (118870080).

Almost surely, 2^11579897511 is an apocalyptic number.

11579897511 is a deficient number, since it is larger than the sum of its proper divisors (11243157849).

11579897511 is a wasteful number, since it uses less digits than its factorization.

11579897511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 678 counting only the distinct ones).

The product of its digits is 793800, while the sum is 54.

The spelling of 11579897511 in words is "eleven billion, five hundred seventy-nine million, eight hundred ninety-seven thousand, five hundred eleven".