11183567805540 has 1152 divisors, whose sum is σ = 39467692572672. Its totient is φ = 2641162567680.

The previous prime is 11183567805539. The next prime is 11183567805541. The reversal of 11183567805540 is 4550876538111.

11183567805540 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 3 + 5 + 6 + 7 + 80 + 554 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11183567805539) and next prime (11183567805541).

It is a super-4 number, since 4×11183567805540⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11183567805541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 35730248424 + ... + 35730248736.

Almost surely, 2^{11183567805540} is an apocalyptic number.

11183567805540 is a gapful number since it is divisible by the number (10) 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 11183567805540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19733846286336).

11183567805540 is an abundant number, since it is smaller than the sum of its proper divisors (28284124767132).

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

11183567805540 is a wasteful number, since it uses less digits than its factorization.

11183567805540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 11183567805540 in words is "eleven trillion, one hundred eighty-three billion, five hundred sixty-seven million, eight hundred five thousand, five hundred forty".