11585121328 has 80 divisors (see below), whose sum is σ = 24711918336. Its totient is φ = 5217765120.

The previous prime is 11585121323. The next prime is 11585121337. The reversal of 11585121328 is 82312158511.

It is not an unprimeable number, because it can be changed into a prime (11585121323) 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, 18016975 + ... + 18017617.

Almost surely, 2^11585121328 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 11585121328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12355959168).

11585121328 is an abundant number, since it is smaller than the sum of its proper divisors (13126797008).

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

11585121328 is a wasteful number, since it uses less digits than its factorization.

11585121328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1436 counting only the distinct ones).

The product of its digits is 19200, while the sum is 37.

Adding to 11585121328 its reverse (82312158511), we get a palindrome (93897279839).

The spelling of 11585121328 in words is "eleven billion, five hundred eighty-five million, one hundred twenty-one thousand, three hundred twenty-eight".