10752248360 has 96 divisors (see below), whose sum is σ = 28828978920. Its totient is φ = 3596544000.

The previous prime is 10752248317. The next prime is 10752248369. The reversal of 10752248360 is 6384225701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8975288644 + 1776959716 = 94738^2 + 42154^2 .

It is a super-2 number, since 2×10752248360² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10752248369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13460 + ... + 147260.

Almost surely, 2^10752248360 is an apocalyptic number.

10752248360 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 10752248360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14414489460).

10752248360 is an abundant number, since it is smaller than the sum of its proper divisors (18076730560).

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

10752248360 is a wasteful number, since it uses less digits than its factorization.

10752248360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133867 (or 133856 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 10752248360 in words is "ten billion, seven hundred fifty-two million, two hundred forty-eight thousand, three hundred sixty".