10581280760 has 64 divisors (see below), whose sum is σ = 25257575520. Its totient is φ = 3975761920.

The previous prime is 10581280753. The next prime is 10581280763. The reversal of 10581280760 is 6708218501.

It is a super-2 number, since 2×10581280760² (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 (10581280763) 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 15 ways as a sum of consecutive naturals, for example, 339347 + ... + 369213.

Almost surely, 2^10581280760 is an apocalyptic number.

10581280760 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 10581280760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12628787760).

10581280760 is an abundant number, since it is smaller than the sum of its proper divisors (14676294760).

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

10581280760 is a wasteful number, since it uses less digits than its factorization.

10581280760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30416 (or 30412 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 38.

The spelling of 10581280760 in words is "ten billion, five hundred eighty-one million, two hundred eighty thousand, seven hundred sixty".