11067166656 has 672 divisors, whose sum is σ = 41420288000. Its totient is φ = 2804336640.

The previous prime is 11067166619. The next prime is 11067166661. The reversal of 11067166656 is 65666176011.

11067166656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79619835 + ... + 79619973.

Almost surely, 2^11067166656 is an apocalyptic number.

11067166656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11067166656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20710144000).

11067166656 is an abundant number, since it is smaller than the sum of its proper divisors (30353121344).

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

11067166656 is a wasteful number, since it uses less digits than its factorization.

11067166656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 11067166656 in words is "eleven billion, sixty-seven million, one hundred sixty-six thousand, six hundred fifty-six".