11580833760 has 192 divisors, whose sum is σ = 37575316800. Its totient is φ = 2996305920.

The previous prime is 11580833749. The next prime is 11580833777. The reversal of 11580833760 is 6733808511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3796716 + ... + 3799764.

It is an arithmetic number, because the mean of its divisors is an integer number (195704775).

Almost surely, 2^11580833760 is an apocalyptic number.

11580833760 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 11580833760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18787658400).

11580833760 is an abundant number, since it is smaller than the sum of its proper divisors (25994483040).

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

11580833760 is a wasteful number, since it uses less digits than its factorization.

11580833760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3301 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 11580833760 in words is "eleven billion, five hundred eighty million, eight hundred thirty-three thousand, seven hundred sixty".