11253240304000 has 256 divisors, whose sum is σ = 29690455392000. Its totient is φ = 4227032678400.

The previous prime is 11253240303989. The next prime is 11253240304027. The reversal of 11253240304000 is 40304235211.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122081929 + ... + 122174071.

It is an arithmetic number, because the mean of its divisors is an integer number (115978341375).

Almost surely, 2^{11253240304000} is an apocalyptic number.

11253240304000 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 11253240304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14845227696000).

11253240304000 is an abundant number, since it is smaller than the sum of its proper divisors (18437215088000).

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

11253240304000 is an equidigital number, since it uses as much as digits as its factorization.

11253240304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92638 (or 92616 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 11253240304000 its reverse (40304235211), we get a palindrome (11293544539211).

The spelling of 11253240304000 in words is "eleven trillion, two hundred fifty-three billion, two hundred forty million, three hundred four thousand".