11514502100240 has 240 divisors, whose sum is σ = 28512478990800. Its totient is φ = 4319236669440.

The previous prime is 11514502100237. The next prime is 11514502100263. The reversal of 11514502100240 is 4200120541511.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 9114022875136 + 2400479225104 = 3018944^2 + 1549348^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893075234 + ... + 893088126.

It is an arithmetic number, because the mean of its divisors is an integer number (118801995795).

Almost surely, 2^{11514502100240} is an apocalyptic number.

11514502100240 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 11514502100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14256239495400).

11514502100240 is an abundant number, since it is smaller than the sum of its proper divisors (16997976890560).

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

11514502100240 is a wasteful number, since it uses less digits than its factorization.

11514502100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13246 (or 13199 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 11514502100240 its reverse (4200120541511), we get a palindrome (15714622641751).

The spelling of 11514502100240 in words is "eleven trillion, five hundred fourteen billion, five hundred two million, one hundred thousand, two hundred forty".