11040327895392 has 288 divisors, whose sum is σ = 32369991702048. Its totient is φ = 3566734000128.

The previous prime is 11040327895391. The next prime is 11040327895417. The reversal of 11040327895392 is 29359872304011.

11040327895392 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 0 + 3 + 27 + 89 + 539 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11040327895391) 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, 5894461368 + ... + 5894463240.

It is an arithmetic number, because the mean of its divisors is an integer number (112395804521).

Almost surely, 2^{11040327895392} is an apocalyptic number.

11040327895392 is a gapful number since it is divisible by the number (12) 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 11040327895392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16184995851024).

11040327895392 is an abundant number, since it is smaller than the sum of its proper divisors (21329663806656).

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

11040327895392 is a wasteful number, since it uses less digits than its factorization.

11040327895392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 11040327895392 in words is "eleven trillion, forty billion, three hundred twenty-seven million, eight hundred ninety-five thousand, three hundred ninety-two".