11553104354100 has 288 divisors, whose sum is σ = 35287990174080. Its totient is φ = 2910257602560.

The previous prime is 11553104354087. The next prime is 11553104354159. The reversal of 11553104354100 is 145340135511.

It is a happy number.

11553104354100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3547159672 + ... + 3547162928.

It is an arithmetic number, because the mean of its divisors is an integer number (122527743660).

Almost surely, 2^{11553104354100} is an apocalyptic number.

11553104354100 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 11553104354100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17643995087040).

11553104354100 is an abundant number, since it is smaller than the sum of its proper divisors (23734885819980).

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

11553104354100 is a wasteful number, since it uses less digits than its factorization.

11553104354100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4899 (or 4892 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

Adding to 11553104354100 its reverse (145340135511), we get a palindrome (11698444489611).

The spelling of 11553104354100 in words is "eleven trillion, five hundred fifty-three billion, one hundred four million, three hundred fifty-four thousand, one hundred".