11385935568 has 90 divisors (see below), whose sum is σ = 37067246034. Its totient is φ = 3253122432.

The previous prime is 11385935551. The next prime is 11385935621. The reversal of 11385935568 is 86553958311.

11385935568 is a `hidden beast` number, since 1 + 1 + 3 + 85 + 9 + 3 + 556 + 8 = 666.

11385935568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7958067264 + 3427868304 = 89208^2 + 58548^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 799771 + ... + 813882.

Almost surely, 2^11385935568 is an apocalyptic number.

11385935568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11385935568 is an abundant number, since it is smaller than the sum of its proper divisors (25681310466).

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

11385935568 is a wasteful number, since it uses less digits than its factorization.

11385935568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613681 (or 1613665 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 54.

The spelling of 11385935568 in words is "eleven billion, three hundred eighty-five million, nine hundred thirty-five thousand, five hundred sixty-eight".