10505506011111 has 24 divisors (see below), whose sum is σ = 15664897064960. Its totient is φ = 6777411166800.

The previous prime is 10505506011017. The next prime is 10505506011131. The reversal of 10505506011111 is 11111060550501.

10505506011111 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 50 + 601 + 1 + 1 + 1 + 1 = 666.

10505506011111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10505506011111 - 2⁹ = 10505506010599 is a prime.

It is a super-2 number, since 2×10505506011111² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505506011131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4794306 + ... + 6632976.

Almost surely, 2^{10505506011111} is an apocalyptic number.

10505506011111 is a deficient number, since it is larger than the sum of its proper divisors (5159391053849).

10505506011111 is a wasteful number, since it uses less digits than its factorization.

10505506011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859187 (or 1859184 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 27.

Adding to 10505506011111 its reverse (11111060550501), we get a palindrome (21616566561612).

The spelling of 10505506011111 in words is "ten trillion, five hundred five billion, five hundred six million, eleven thousand, one hundred eleven".