11005000610605 has 16 divisors (see below), whose sum is σ = 13312279148544. Its totient is φ = 8733172109760.

The previous prime is 11005000610603. The next prime is 11005000610647. The reversal of 11005000610605 is 50601600050011.

It is not a de Polignac number, because 11005000610605 - 2¹ = 11005000610603 is a prime.

It is a super-2 number, since 2×11005000610605² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11005000610605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005000610603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2200570 + ... + 5181940.

It is an arithmetic number, because the mean of its divisors is an integer number (832017446784).

Almost surely, 2^{11005000610605} is an apocalyptic number.

It is an amenable number.

11005000610605 is a deficient number, since it is larger than the sum of its proper divisors (2307278537939).

11005000610605 is a wasteful number, since it uses less digits than its factorization.

11005000610605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987316.

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 11005000610605 its reverse (50601600050011), we get a palindrome (61606600660616).

The spelling of 11005000610605 in words is "eleven trillion, five billion, six hundred ten thousand, six hundred five".