10352243520 has 168 divisors, whose sum is σ = 35975461704. Its totient is φ = 2732064768.

The previous prime is 10352243467. The next prime is 10352243543. The reversal of 10352243520 is 2534225301.

It is a happy number.

10352243520 is a `hidden beast` number, since 103 + 522 + 4 + 35 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2957619456 + 7394624064 = 54384^2 + 85992^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 260832 + ... + 297888.

It is an arithmetic number, because the mean of its divisors is an integer number (214139653).

Almost surely, 2^10352243520 is an apocalyptic number.

10352243520 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 10352243520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17987730852).

10352243520 is an abundant number, since it is smaller than the sum of its proper divisors (25623218184).

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

10352243520 is a wasteful number, since it uses less digits than its factorization.

10352243520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37177 (or 37164 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 10352243520 its reverse (2534225301), we get a palindrome (12886468821).

The spelling of 10352243520 in words is "ten billion, three hundred fifty-two million, two hundred forty-three thousand, five hundred twenty".