11132520360 has 256 divisors, whose sum is σ = 37336965120. Its totient is φ = 2636928000.

The previous prime is 11132520349. The next prime is 11132520379. The reversal of 11132520360 is 6302523111.

11132520360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11132520360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10203415 + ... + 10204505.

It is an arithmetic number, because the mean of its divisors is an integer number (145847520).

Almost surely, 2^11132520360 is an apocalyptic number.

11132520360 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 11132520360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18668482560).

11132520360 is an abundant number, since it is smaller than the sum of its proper divisors (26204444760).

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

11132520360 is a wasteful number, since it uses less digits than its factorization.

11132520360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 11132520360 in words is "eleven billion, one hundred thirty-two million, five hundred twenty thousand, three hundred sixty".