11580860928 has 320 divisors, whose sum is σ = 39294984960. Its totient is φ = 2947940352.

The previous prime is 11580860927. The next prime is 11580860947. The reversal of 11580860928 is 82906808511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11580860923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4052076 + ... + 4054932.

It is an arithmetic number, because the mean of its divisors is an integer number (122796828).

Almost surely, 2^11580860928 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 11580860928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19647492480).

11580860928 is an abundant number, since it is smaller than the sum of its proper divisors (27714124032).

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

11580860928 is a wasteful number, since it uses less digits than its factorization.

11580860928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 48.

The spelling of 11580860928 in words is "eleven billion, five hundred eighty million, eight hundred sixty thousand, nine hundred twenty-eight".