11328877560 has 512 divisors, whose sum is σ = 46884096000. Its totient is φ = 2113413120.

The previous prime is 11328877559. The next prime is 11328877619. The reversal of 11328877560 is 6577882311.

It is a happy number.

11328877560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 4443166 + ... + 4445714.

It is an arithmetic number, because the mean of its divisors is an integer number (91570500).

Almost surely, 2^11328877560 is an apocalyptic number.

11328877560 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 11328877560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23442048000).

11328877560 is an abundant number, since it is smaller than the sum of its proper divisors (35555218440).

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

11328877560 is a wasteful number, since it uses less digits than its factorization.

11328877560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

It can be divided in two parts, 11328 and 877560, that added together give a palindrome (888888).

The spelling of 11328877560 in words is "eleven billion, three hundred twenty-eight million, eight hundred seventy-seven thousand, five hundred sixty".