10589080320 has 1296 divisors, whose sum is σ = 48611797920. Its totient is φ = 2173796352.

The previous prime is 10589080303. The next prime is 10589080339. The reversal of 10589080320 is 2308098501.

It is a super-2 number, since 2×10589080320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 286191342 + ... + 286191378.

Almost surely, 2^10589080320 is an apocalyptic number.

10589080320 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 10589080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24305898960).

10589080320 is an abundant number, since it is smaller than the sum of its proper divisors (38022717600).

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

10589080320 is a wasteful number, since it uses less digits than its factorization.

10589080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10589080320 in words is "ten billion, five hundred eighty-nine million, eighty thousand, three hundred twenty".