11552430240 has 576 divisors, whose sum is σ = 46442253312. Its totient is φ = 2587852800.

The previous prime is 11552430221. The next prime is 11552430247. The reversal of 11552430240 is 4203425511.

11552430240 is a `hidden beast` number, since 115 + 524 + 3 + 0 + 24 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (11552430247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9864855 + ... + 9866025.

It is an arithmetic number, because the mean of its divisors is an integer number (80628912).

Almost surely, 2^11552430240 is an apocalyptic number.

11552430240 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 11552430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23221126656).

11552430240 is an abundant number, since it is smaller than the sum of its proper divisors (34889823072).

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

11552430240 is a wasteful number, since it uses less digits than its factorization.

11552430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 11552430240 its reverse (4203425511), we get a palindrome (15755855751).

The spelling of 11552430240 in words is "eleven billion, five hundred fifty-two million, four hundred thirty thousand, two hundred forty".