11205352125400 has 96 divisors (see below), whose sum is σ = 26986700865600. Its totient is φ = 4321820160000.

The previous prime is 11205352125379. The next prime is 11205352125413. The reversal of 11205352125400 is 452125350211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3069544 + ... + 5642056.

It is an arithmetic number, because the mean of its divisors is an integer number (281111467350).

Almost surely, 2^{11205352125400} is an apocalyptic number.

11205352125400 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 11205352125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13493350432800).

11205352125400 is an abundant number, since it is smaller than the sum of its proper divisors (15781348740200).

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

11205352125400 is a wasteful number, since it uses less digits than its factorization.

11205352125400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573309 (or 2573300 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 11205352125400 its reverse (452125350211), we get a palindrome (11657477475611).

The spelling of 11205352125400 in words is "eleven trillion, two hundred five billion, three hundred fifty-two million, one hundred twenty-five thousand, four hundred".