11603128320 has 936 divisors, whose sum is σ = 50876725536. Its totient is φ = 2387607552.

The previous prime is 11603128309. The next prime is 11603128321. The reversal of 11603128320 is 2382130611.

It is a happy number.

11603128320 is a `hidden beast` number, since 1 + 1 + 603 + 1 + 28 + 32 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (11603128321) 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 71 ways as a sum of consecutive naturals, for example, 504483829 + ... + 504483851.

It is an arithmetic number, because the mean of its divisors is an integer number (54355476).

Almost surely, 2^11603128320 is an apocalyptic number.

11603128320 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 11603128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25438362768).

11603128320 is an abundant number, since it is smaller than the sum of its proper divisors (39273597216).

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

11603128320 is a wasteful number, since it uses less digits than its factorization.

11603128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 11603128320 its reverse (2382130611), we get a palindrome (13985258931).

The spelling of 11603128320 in words is "eleven billion, six hundred three million, one hundred twenty-eight thousand, three hundred twenty".