11597566864 has 135 divisors (see below), whose sum is σ = 25917503283. Its totient is φ = 5024477952.

The previous prime is 11597566853. The next prime is 11597566909. The reversal of 11597566864 is 46866579511.

The square root of 11597566864 is 107692.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 405619600 + 11191947264 = 20140^2 + 105792^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11597566799 and 11597566808.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 106399642 + ... + 106399750.

Almost surely, 2^11597566864 is an apocalyptic number.

11597566864 is the 107692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11597566864

11597566864 is an abundant number, since it is smaller than the sum of its proper divisors (14319936419).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11597566864 is a wasteful number, since it uses less digits than its factorization.

11597566864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 143 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 58.

The spelling of 11597566864 in words is "eleven billion, five hundred ninety-seven million, five hundred sixty-six thousand, eight hundred sixty-four".