11589008928 has 96 divisors (see below), whose sum is σ = 34843374720. Its totient is φ = 3303874560.

The previous prime is 11589008923. The next prime is 11589008929. The reversal of 11589008928 is 82980098511.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (11589008923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291088 + ... + 328496.

It is an arithmetic number, because the mean of its divisors is an integer number (362951820).

Almost surely, 2^11589008928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11589008928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17421687360).

11589008928 is an abundant number, since it is smaller than the sum of its proper divisors (23254365792).

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

11589008928 is a wasteful number, since it uses less digits than its factorization.

11589008928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37890 (or 37882 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 51.

The spelling of 11589008928 in words is "eleven billion, five hundred eighty-nine million, eight thousand, nine hundred twenty-eight".