11115450304000 has 1280 divisors, whose sum is σ = 34376143785984. Its totient is φ = 3502473216000.

The previous prime is 11115450303967. The next prime is 11115450304027. The reversal of 11115450304000 is 40305451111.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 35064511842 + ... + 35064512158.

Almost surely, 2^{11115450304000} is an apocalyptic number.

11115450304000 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 11115450304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17188071892992).

11115450304000 is an abundant number, since it is smaller than the sum of its proper divisors (23260693481984).

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

11115450304000 is an equidigital number, since it uses as much as digits as its factorization.

11115450304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 11115450304000 its reverse (40305451111), we get a palindrome (11155755755111).

The spelling of 11115450304000 in words is "eleven trillion, one hundred fifteen billion, four hundred fifty million, three hundred four thousand".