11725271300000 has 288 divisors, whose sum is σ = 29884421024640. Its totient is φ = 4522896000000.

The previous prime is 11725271299997. The next prime is 11725271300089. The reversal of 11725271300000 is 317252711.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3047898077 + ... + 3047901923.

It is an arithmetic number, because the mean of its divisors is an integer number (103765350780).

Almost surely, 2^{11725271300000} is an apocalyptic number.

11725271300000 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 11725271300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14942210512320).

11725271300000 is an abundant number, since it is smaller than the sum of its proper divisors (18159149724640).

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

11725271300000 is an equidigital number, since it uses as much as digits as its factorization.

11725271300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4962 (or 4934 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 29.

Adding to 11725271300000 its reverse (317252711), we get a palindrome (11725588552711).

The spelling of 11725271300000 in words is "eleven trillion, seven hundred twenty-five billion, two hundred seventy-one million, three hundred thousand".