11075043168 has 240 divisors, whose sum is σ = 38844368640. Its totient is φ = 3026605824.

The previous prime is 11075043163. The next prime is 11075043169. The reversal of 11075043168 is 86134057011.

11075043168 is a `hidden beast` number, since 110 + 7 + 50 + 431 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11075043163) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 404043 + ... + 430581.

It is an arithmetic number, because the mean of its divisors is an integer number (161851536).

Almost surely, 2^11075043168 is an apocalyptic number.

11075043168 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 11075043168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19422184320).

11075043168 is an abundant number, since it is smaller than the sum of its proper divisors (27769325472).

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

11075043168 is a wasteful number, since it uses less digits than its factorization.

11075043168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26591 (or 26574 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11075043168 in words is "eleven billion, seventy-five million, forty-three thousand, one hundred sixty-eight".