10589233216 has 63 divisors (see below), whose sum is σ = 22209971709. Its totient is φ = 5008543488.

The previous prime is 10589233199. The next prime is 10589233243. The reversal of 10589233216 is 61233298501.

The square root of 10589233216 is 102904.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10526760000 + 62473216 = 102600^2 + 7904^2 .

It is a super-2 number, since 2×10589233216² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15641070 + ... + 15641746.

Almost surely, 2^10589233216 is an apocalyptic number.

10589233216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10589233216 is the 102904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10589233216

10589233216 is an abundant number, since it is smaller than the sum of its proper divisors (11620738493).

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

10589233216 is an frugal number, since it uses more digits than its factorization.

10589233216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 10589233216 in words is "ten billion, five hundred eighty-nine million, two hundred thirty-three thousand, two hundred sixteen".