11541240000 has 210 divisors, whose sum is σ = 41339157860. Its totient is φ = 3077568000.

The previous prime is 11541239981. The next prime is 11541240037. The reversal of 11541240000 is 4214511.

11541240000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 343971 + ... + 376029.

Almost surely, 2^11541240000 is an apocalyptic number.

11541240000 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 11541240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20669578930).

11541240000 is an abundant number, since it is smaller than the sum of its proper divisors (29797917860).

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

11541240000 is an equidigital number, since it uses as much as digits as its factorization.

11541240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32097 (or 32069 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 11541240000 its reverse (4214511), we get a palindrome (11545454511).

The spelling of 11541240000 in words is "eleven billion, five hundred forty-one million, two hundred forty thousand".