11205440110225 has 24 divisors (see below), whose sum is σ = 13912034572800. Its totient is φ = 8953200395520.

The previous prime is 11205440110177. The next prime is 11205440110261. The reversal of 11205440110225 is 52201104450211.

11205440110225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-11205440110225 is a prime.

It is a super-3 number, since 3×11205440110225³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11205440110193 and 11205440110202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230573529 + ... + 230622121.

It is an arithmetic number, because the mean of its divisors is an integer number (579668107200).

Almost surely, 2^{11205440110225} is an apocalyptic number.

It is an amenable number.

11205440110225 is a deficient number, since it is larger than the sum of its proper divisors (2706594462575).

11205440110225 is a wasteful number, since it uses less digits than its factorization.

11205440110225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59889 (or 59884 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

Adding to 11205440110225 its reverse (52201104450211), we get a palindrome (63406544560436).

The spelling of 11205440110225 in words is "eleven trillion, two hundred five billion, four hundred forty million, one hundred ten thousand, two hundred twenty-five".