11450362560 has 224 divisors, whose sum is σ = 44744835072. Its totient is φ = 2415882240.

The previous prime is 11450362541. The next prime is 11450362589. The reversal of 11450362560 is 6526305411.

11450362560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×11450362560² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 21825 + ... + 152895.

It is an arithmetic number, because the mean of its divisors is an integer number (199753728).

Almost surely, 2^11450362560 is an apocalyptic number.

11450362560 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 11450362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22372417536).

11450362560 is an abundant number, since it is smaller than the sum of its proper divisors (33294472512).

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

11450362560 is a wasteful number, since it uses less digits than its factorization.

11450362560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131111 (or 131101 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 11450362560 its reverse (6526305411), we get a palindrome (17976667971).

The spelling of 11450362560 in words is "eleven billion, four hundred fifty million, three hundred sixty-two thousand, five hundred sixty".