11005166556 has 72 divisors (see below), whose sum is σ = 28380001104. Its totient is φ = 3594539520.

The previous prime is 11005166551. The next prime is 11005166581. The reversal of 11005166556 is 65566150011.

It is a super-2 number, since 2×11005166556² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11005166556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005166551) 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, 1677675 + ... + 1684221.

It is an arithmetic number, because the mean of its divisors is an integer number (394166682).

Almost surely, 2^11005166556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11005166556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14190000552).

11005166556 is an abundant number, since it is smaller than the sum of its proper divisors (17374834548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11005166556 is a wasteful number, since it uses less digits than its factorization.

11005166556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7491 (or 7486 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 11005166556 in words is "eleven billion, five million, one hundred sixty-six thousand, five hundred fifty-six".