10589424580 has 48 divisors (see below), whose sum is σ = 25420792320. Its totient is φ = 3629778048.

The previous prime is 10589424577. The next prime is 10589424589. The reversal of 10589424580 is 8542498501.

It is a super-2 number, since 2×10589424580² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10589424580.

It is not an unprimeable number, because it can be changed into a prime (10589424589) 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, 865989 + ... + 878131.

It is an arithmetic number, because the mean of its divisors is an integer number (529599840).

Almost surely, 2^10589424580 is an apocalyptic number.

10589424580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10589424580 is an abundant number, since it is smaller than the sum of its proper divisors (14831367740).

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

10589424580 is a wasteful number, since it uses less digits than its factorization.

10589424580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18388 (or 18386 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 46.

The spelling of 10589424580 in words is "ten billion, five hundred eighty-nine million, four hundred twenty-four thousand, five hundred eighty".