11552000030240 has 192 divisors, whose sum is σ = 28613247667200. Its totient is φ = 4398955782144.

The previous prime is 11552000030237. The next prime is 11552000030251. The reversal of 11552000030240 is 4203000025511.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2822377634 + ... + 2822381726.

It is an arithmetic number, because the mean of its divisors is an integer number (149027331600).

Almost surely, 2^{11552000030240} is an apocalyptic number.

11552000030240 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 11552000030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14306623833600).

11552000030240 is an abundant number, since it is smaller than the sum of its proper divisors (17061247636960).

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

11552000030240 is a wasteful number, since it uses less digits than its factorization.

11552000030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7579 (or 7571 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 11552000030240 its reverse (4203000025511), we get a palindrome (15755000055751).

The spelling of 11552000030240 in words is "eleven trillion, five hundred fifty-two billion, thirty thousand, two hundred forty".