11553115321300 has 216 divisors, whose sum is σ = 30926726437824. Its totient is φ = 3722284661760.

The previous prime is 11553115321247. The next prime is 11553115321379. The reversal of 11553115321300 is 312351135511.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 53787919 + ... + 54002281.

It is an arithmetic number, because the mean of its divisors is an integer number (143179289064).

Almost surely, 2^{11553115321300} is an apocalyptic number.

11553115321300 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 11553115321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15463363218912).

11553115321300 is an abundant number, since it is smaller than the sum of its proper divisors (19373611116524).

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

11553115321300 is a wasteful number, since it uses less digits than its factorization.

11553115321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215055 (or 215041 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 31.

Adding to 11553115321300 its reverse (312351135511), we get a palindrome (11865466456811).

The spelling of 11553115321300 in words is "eleven trillion, five hundred fifty-three billion, one hundred fifteen million, three hundred twenty-one thousand, three hundred".