10580564823150 has 576 divisors, whose sum is σ = 31906301366016. Its totient is φ = 2311545600000.

The previous prime is 10580564823137. The next prime is 10580564823151. The reversal of 10580564823150 is 5132846508501.

It is a super-2 number, since 2×10580564823150² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10580564823150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10580564823151) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10067140125 + ... + 10067141175.

It is an arithmetic number, because the mean of its divisors is an integer number (55392884316).

Almost surely, 2^{10580564823150} is an apocalyptic number.

10580564823150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10580564823150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15953150683008).

10580564823150 is an abundant number, since it is smaller than the sum of its proper divisors (21325736542866).

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

10580564823150 is a wasteful number, since it uses less digits than its factorization.

10580564823150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 48.

The spelling of 10580564823150 in words is "ten trillion, five hundred eighty billion, five hundred sixty-four million, eight hundred twenty-three thousand, one hundred fifty".