11535113205 has 80 divisors (see below), whose sum is σ = 25780132224. Its totient is φ = 4793800320.

The previous prime is 11535113197. The next prime is 11535113209. The reversal of 11535113205 is 50231153511.

11535113205 is a `hidden beast` number, since 11 + 535 + 113 + 2 + 0 + 5 = 666.

It is not a de Polignac number, because 11535113205 - 2³ = 11535113197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11535113209) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 153762 + ... + 216131.

Almost surely, 2^11535113205 is an apocalyptic number.

11535113205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11535113205 is an abundant number, since it is smaller than the sum of its proper divisors (14245019019).

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

11535113205 is a wasteful number, since it uses less digits than its factorization.

11535113205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369928 (or 369919 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

Adding to 11535113205 its reverse (50231153511), we get a palindrome (61766266716).

The spelling of 11535113205 in words is "eleven billion, five hundred thirty-five million, one hundred thirteen thousand, two hundred five".