11128391560 has 256 divisors, whose sum is σ = 30881088000. Its totient is φ = 3553320960.

The previous prime is 11128391551. The next prime is 11128391591. The reversal of 11128391560 is 6519382111.

11128391560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 12108781 + ... + 12109699.

It is an arithmetic number, because the mean of its divisors is an integer number (120629250).

Almost surely, 2^11128391560 is an apocalyptic number.

11128391560 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 11128391560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15440544000).

11128391560 is an abundant number, since it is smaller than the sum of its proper divisors (19752696440).

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

11128391560 is a wasteful number, since it uses less digits than its factorization.

11128391560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The spelling of 11128391560 in words is "eleven billion, one hundred twenty-eight million, three hundred ninety-one thousand, five hundred sixty".