10580767728 has 160 divisors (see below), whose sum is σ = 29834280960. Its totient is φ = 3218952960.

The previous prime is 10580767727. The next prime is 10580767733. The reversal of 10580767728 is 82776708501.

It is a super-2 number, since 2×10580767728² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10580767723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7434825 + ... + 7436247.

It is an arithmetic number, because the mean of its divisors is an integer number (186464256).

Almost surely, 2^10580767728 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 10580767728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14917140480).

10580767728 is an abundant number, since it is smaller than the sum of its proper divisors (19253513232).

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

10580767728 is a wasteful number, since it uses less digits than its factorization.

10580767728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 51.

The spelling of 10580767728 in words is "ten billion, five hundred eighty million, seven hundred sixty-seven thousand, seven hundred twenty-eight".