11527321728 has 128 divisors (see below), whose sum is σ = 34038950400. Its totient is φ = 3432407040.

The previous prime is 11527321711. The next prime is 11527321781. The reversal of 11527321728 is 82712372511.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117508 + ... + 191996.

It is an arithmetic number, because the mean of its divisors is an integer number (265929300).

Almost surely, 2^11527321728 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 11527321728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17019475200).

11527321728 is an abundant number, since it is smaller than the sum of its proper divisors (22511628672).

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

11527321728 is a wasteful number, since it uses less digits than its factorization.

11527321728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74550 (or 74538 counting only the distinct ones).

The product of its digits is 47040, while the sum is 39.

The spelling of 11527321728 in words is "eleven billion, five hundred twenty-seven million, three hundred twenty-one thousand, seven hundred twenty-eight".