11520606240 has 768 divisors, whose sum is σ = 50203722240. Its totient is φ = 2424176640.

The previous prime is 11520606233. The next prime is 11520606241. The reversal of 11520606240 is 4260602511.

11520606240 is a `hidden beast` number, since 1 + 1 + 52 + 0 + 606 + 2 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11520606241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10501372 + ... + 10502468.

It is an arithmetic number, because the mean of its divisors is an integer number (65369430).

Almost surely, 2^11520606240 is an apocalyptic number.

11520606240 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 11520606240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25101861120).

11520606240 is an abundant number, since it is smaller than the sum of its proper divisors (38683116000).

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

11520606240 is a wasteful number, since it uses less digits than its factorization.

11520606240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 11520606240 in words is "eleven billion, five hundred twenty million, six hundred six thousand, two hundred forty".