10580316384 has 192 divisors, whose sum is σ = 33188279040. Its totient is φ = 2913361920.

The previous prime is 10580316379. The next prime is 10580316431. The reversal of 10580316384 is 48361308501.

It is a super-3 number, since 3×10580316384³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 510447 + ... + 530769.

It is an arithmetic number, because the mean of its divisors is an integer number (172855620).

Almost surely, 2^10580316384 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 10580316384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16594139520).

10580316384 is an abundant number, since it is smaller than the sum of its proper divisors (22607962656).

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

10580316384 is a wasteful number, since it uses less digits than its factorization.

10580316384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20393 (or 20385 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 10580316384 in words is "ten billion, five hundred eighty million, three hundred sixteen thousand, three hundred eighty-four".