11255582565 has 48 divisors (see below), whose sum is σ = 20433553920. Its totient is φ = 5720647680.

The previous prime is 11255582549. The next prime is 11255582593. The reversal of 11255582565 is 56528555211.

11255582565 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 5 + 5 + 82 + 565 = 666.

It is not a de Polignac number, because 11255582565 - 2⁴ = 11255582549 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11255582565.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 260421 + ... + 300549.

It is an arithmetic number, because the mean of its divisors is an integer number (425699040).

Almost surely, 2^11255582565 is an apocalyptic number.

11255582565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11255582565 is a deficient number, since it is larger than the sum of its proper divisors (9177971355).

11255582565 is a wasteful number, since it uses less digits than its factorization.

11255582565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40434 (or 40431 counting only the distinct ones).

The product of its digits is 600000, while the sum is 45.

The spelling of 11255582565 in words is "eleven billion, two hundred fifty-five million, five hundred eighty-two thousand, five hundred sixty-five".