11132110755540 has 144 divisors (see below), whose sum is σ = 34099711276176. Its totient is φ = 2939489740800.

The previous prime is 11132110755527. The next prime is 11132110755541. The reversal of 11132110755540 is 4555701123111.

11132110755540 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 2 + 1 + 107 + 5 + 5 + 540 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5770978025796 + 5361132729744 = 2402286^2 + 2315412^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11132110755495 and 11132110755504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132110755541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6857910 + ... + 8324370.

It is an arithmetic number, because the mean of its divisors is an integer number (236803550529).

Almost surely, 2^{11132110755540} is an apocalyptic number.

11132110755540 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 11132110755540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17049855638088).

11132110755540 is an abundant number, since it is smaller than the sum of its proper divisors (22967600520636).

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

11132110755540 is a wasteful number, since it uses less digits than its factorization.

11132110755540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466890 (or 1466885 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 36.

Adding to 11132110755540 its reverse (4555701123111), we get a palindrome (15687811878651).

The spelling of 11132110755540 in words is "eleven trillion, one hundred thirty-two billion, one hundred ten million, seven hundred fifty-five thousand, five hundred forty".