11005055506 has 16 divisors (see below), whose sum is σ = 16785097560. Its totient is φ = 5410097280.

The previous prime is 11005055491. The next prime is 11005055513. The reversal of 11005055506 is 60555050011.

It can be written as a sum of positive squares in 4 ways, for example, as 9862277481 + 1142778025 = 99309^2 + 33805^2 .

It is a super-2 number, since 2×11005055506² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302040 + ... + 336508.

Almost surely, 2^11005055506 is an apocalyptic number.

11005055506 is a deficient number, since it is larger than the sum of its proper divisors (5780042054).

11005055506 is a wasteful number, since it uses less digits than its factorization.

11005055506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37149.

The product of its (nonzero) digits is 3750, while the sum is 28.

It can be divided in two parts, 1100505 and 5506, that added together give a palindrome (1106011).

The spelling of 11005055506 in words is "eleven billion, five million, fifty-five thousand, five hundred six".