11255134000000 has 448 divisors, whose sum is σ = 30672282389760. Its totient is φ = 4079840000000.

The previous prime is 11255133999971. The next prime is 11255134000001. The reversal of 11255134000000 is 43155211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11255134000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9481999407 + ... + 9482000593.

Almost surely, 2^{11255134000000} is an apocalyptic number.

11255134000000 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 11255134000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15336141194880).

11255134000000 is an abundant number, since it is smaller than the sum of its proper divisors (19417148389760).

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

11255134000000 is an frugal number, since it uses more digits than its factorization.

11255134000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 11255134000000 its reverse (43155211), we get a palindrome (11255177155211).

The spelling of 11255134000000 in words is "eleven trillion, two hundred fifty-five billion, one hundred thirty-four million", and thus it is an aban number.