11006636205625 has 10 divisors (see below), whose sum is σ = 13753892603330. Its totient is φ = 8805308964000.

The previous prime is 11006636205613. The next prime is 11006636205647. The reversal of 11006636205625 is 52650263660011.

It can be written as a sum of positive squares in 5 ways, for example, as 6029043178921 + 4977593026704 = 2455411^2 + 2231052^2 .

It is not a de Polignac number, because 11006636205625 - 2²⁵ = 11006602651193 is a prime.

It is a super-2 number, since 2×11006636205625² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8805308340 + ... + 8805309589.

It is an arithmetic number, because the mean of its divisors is an integer number (1375389260333).

Almost surely, 2^{11006636205625} is an apocalyptic number.

It is an amenable number.

11006636205625 is a deficient number, since it is larger than the sum of its proper divisors (2747256397705).

11006636205625 is an frugal number, since it uses more digits than its factorization.

11006636205625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17610617949 (or 17610617934 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

Adding to 11006636205625 its reverse (52650263660011), we get a palindrome (63656899865636).

The spelling of 11006636205625 in words is "eleven trillion, six billion, six hundred thirty-six million, two hundred five thousand, six hundred twenty-five".