11075568768 has 384 divisors, whose sum is σ = 36957211200. Its totient is φ = 3148554240.

The previous prime is 11075568733. The next prime is 11075568769. The reversal of 11075568768 is 86786557011.

11075568768 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 5 + 568 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (11075568769) 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, 37800430 + ... + 37800722.

Almost surely, 2^11075568768 is an apocalyptic number.

11075568768 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 11075568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18478605600).

11075568768 is an abundant number, since it is smaller than the sum of its proper divisors (25881642432).

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

11075568768 is a wasteful number, since it uses less digits than its factorization.

11075568768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 11075568768 in words is "eleven billion, seventy-five million, five hundred sixty-eight thousand, seven hundred sixty-eight".