10534324240 has 320 divisors, whose sum is σ = 28794942720. Its totient is φ = 3548160000.

The previous prime is 10534324237. The next prime is 10534324247. The reversal of 10534324240 is 4242343501.

It is a happy number.

It is a super-2 number, since 2×10534324240² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10534324199 and 10534324208.

It is not an unprimeable number, because it can be changed into a prime (10534324247) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 104300190 + ... + 104300290.

It is an arithmetic number, because the mean of its divisors is an integer number (89984196).

Almost surely, 2^10534324240 is an apocalyptic number.

10534324240 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 10534324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14397471360).

10534324240 is an abundant number, since it is smaller than the sum of its proper divisors (18260618480).

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

10534324240 is a wasteful number, since it uses less digits than its factorization.

10534324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 10534324240 its reverse (4242343501), we get a palindrome (14776667741).

The spelling of 10534324240 in words is "ten billion, five hundred thirty-four million, three hundred twenty-four thousand, two hundred forty".