11006665656 has 128 divisors (see below), whose sum is σ = 31819392000. Its totient is φ = 3107745792.

The previous prime is 11006665643. The next prime is 11006665697. The reversal of 11006665656 is 65656660011.

It is a super-2 number, since 2×11006665656² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11847400 + ... + 11848328.

It is an arithmetic number, because the mean of its divisors is an integer number (248589000).

Almost surely, 2^11006665656 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 11006665656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15909696000).

11006665656 is an abundant number, since it is smaller than the sum of its proper divisors (20812726344).

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

11006665656 is a wasteful number, since it uses less digits than its factorization.

11006665656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 11006665656 in words is "eleven billion, six million, six hundred sixty-five thousand, six hundred fifty-six".