11305258893 has 48 divisors (see below), whose sum is σ = 17641321776. Its totient is φ = 6950430720.

The previous prime is 11305258891. The next prime is 11305258973. The reversal of 11305258893 is 39885250311.

11305258893 is a `hidden beast` number, since 1 + 1 + 30 + 525 + 8 + 8 + 93 = 666.

11305258893 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 8 ways, for example, as 958707369 + 10346551524 = 30963^2 + 101718^2 .

It is not a de Polignac number, because 11305258893 - 2¹ = 11305258891 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11305258891) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2583055 + ... + 2587427.

It is an arithmetic number, because the mean of its divisors is an integer number (367527537).

Almost surely, 2^11305258893 is an apocalyptic number.

It is an amenable number.

11305258893 is a deficient number, since it is larger than the sum of its proper divisors (6336062883).

11305258893 is a wasteful number, since it uses less digits than its factorization.

11305258893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734 (or 4731 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 11305258893 in words is "eleven billion, three hundred five million, two hundred fifty-eight thousand, eight hundred ninety-three".