11065638168 has 192 divisors, whose sum is σ = 32796123360. Its totient is φ = 3350274048.

The previous prime is 11065638163. The next prime is 11065638179. The reversal of 11065638168 is 86183656011.

11065638168 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 5 + 638 + 1 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11065638163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27872946 + ... + 27873342.

Almost surely, 2^11065638168 is an apocalyptic number.

11065638168 is a gapful number since it is divisible by the number (18) 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 11065638168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16398061680).

11065638168 is an abundant number, since it is smaller than the sum of its proper divisors (21730485192).

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

11065638168 is a wasteful number, since it uses less digits than its factorization.

11065638168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 11065638168 in words is "eleven billion, sixty-five million, six hundred thirty-eight thousand, one hundred sixty-eight".