11271840768 has 264 divisors, whose sum is σ = 34173633312. Its totient is φ = 3710582784.

The previous prime is 11271840737. The next prime is 11271840779. The reversal of 11271840768 is 86704817211.

11271840768 is a `hidden beast` number, since 112 + 71 + 8 + 407 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24136471 + ... + 24136937.

Almost surely, 2^11271840768 is an apocalyptic number.

11271840768 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 11271840768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17086816656).

11271840768 is an abundant number, since it is smaller than the sum of its proper divisors (22901792544).

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

11271840768 is an frugal number, since it uses more digits than its factorization.

11271840768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 11271840768 in words is "eleven billion, two hundred seventy-one million, eight hundred forty thousand, seven hundred sixty-eight".