10535324243808 has 192 divisors, whose sum is σ = 34050678842880. Its totient is φ = 2777446858752.

The previous prime is 10535324243803. The next prime is 10535324243869. The reversal of 10535324243808 is 80834242353501.

It is a super-2 number, since 2×10535324243808² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10535324243803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21943216 + ... + 22418192.

It is an arithmetic number, because the mean of its divisors is an integer number (177347285640).

Almost surely, 2^{10535324243808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10535324243808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17025339421440).

10535324243808 is an abundant number, since it is smaller than the sum of its proper divisors (23515354599072).

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

10535324243808 is a wasteful number, since it uses less digits than its factorization.

10535324243808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477549 (or 477541 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 10535324243808 in words is "ten trillion, five hundred thirty-five billion, three hundred twenty-four million, two hundred forty-three thousand, eight hundred eight".