11072775168 has 616 divisors, whose sum is σ = 41096030528. Its totient is φ = 2902376448.

The previous prime is 11072775163. The next prime is 11072775173. The reversal of 11072775168 is 86157727011.

11072775168 is a `hidden beast` number, since 1 + 107 + 27 + 7 + 516 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (11072775163) and next prime (11072775173).

It is not an unprimeable number, because it can be changed into a prime (11072775163) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 67931055 + ... + 67931217.

Almost surely, 2^11072775168 is an apocalyptic number.

11072775168 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 11072775168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20548015264).

11072775168 is an abundant number, since it is smaller than the sum of its proper divisors (30023255360).

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

11072775168 is an equidigital number, since it uses as much as digits as its factorization.

11072775168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 45.

The spelling of 11072775168 in words is "eleven billion, seventy-two million, seven hundred seventy-five thousand, one hundred sixty-eight".