11155135131720 has 192 divisors, whose sum is σ = 36970216732800. Its totient is φ = 2916419896320.

The previous prime is 11155135131719. The next prime is 11155135131731. The reversal of 11155135131720 is 2713153155111.

11155135131720 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 513 + 5 + 131 + 7 + 2 + 0 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3356164 + ... + 5794316.

It is an arithmetic number, because the mean of its divisors is an integer number (192553212150).

Almost surely, 2^{11155135131720} is an apocalyptic number.

11155135131720 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 11155135131720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18485108366400).

11155135131720 is an abundant number, since it is smaller than the sum of its proper divisors (25815081601080).

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

11155135131720 is a wasteful number, since it uses less digits than its factorization.

11155135131720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438420 (or 2438413 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 36.

Adding to 11155135131720 its reverse (2713153155111), we get a palindrome (13868288286831).

The spelling of 11155135131720 in words is "eleven trillion, one hundred fifty-five billion, one hundred thirty-five million, one hundred thirty-one thousand, seven hundred twenty".