11523241200240 has 1440 divisors, whose sum is σ = 53609771255040. Its totient is φ = 2268377395200.

The previous prime is 11523241200239. The next prime is 11523241200257. The reversal of 11523241200240 is 4200214232511.

11523241200240 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 3 + 2 + 412 + 0 + 0 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 199056100 + ... + 199113980.

It is an arithmetic number, because the mean of its divisors is an integer number (37229007816).

Almost surely, 2^{11523241200240} is an apocalyptic number.

11523241200240 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 11523241200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26804885627520).

11523241200240 is an abundant number, since it is smaller than the sum of its proper divisors (42086530054800).

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

11523241200240 is a wasteful number, since it uses less digits than its factorization.

11523241200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57953 (or 57928 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 11523241200240 its reverse (4200214232511), we get a palindrome (15723455432751).

The spelling of 11523241200240 in words is "eleven trillion, five hundred twenty-three billion, two hundred forty-one million, two hundred thousand, two hundred forty".