10581130560 has 1008 divisors, whose sum is σ = 46545959232. Its totient is φ = 2029547520.

The previous prime is 10581130541. The next prime is 10581130561. The reversal of 10581130560 is 6503118501.

It is a super-2 number, since 2×10581130560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10581130561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 813933114 + ... + 813933126.

Almost surely, 2^10581130560 is an apocalyptic number.

10581130560 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 10581130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23272979616).

10581130560 is an abundant number, since it is smaller than the sum of its proper divisors (35964828672).

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

10581130560 is a wasteful number, since it uses less digits than its factorization.

10581130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

It can be divided in two parts, 10581 and 130560, that added together give a palindrome (141141).

The spelling of 10581130560 in words is "ten billion, five hundred eighty-one million, one hundred thirty thousand, five hundred sixty".