10439161298560 has 256 divisors, whose sum is σ = 26959206736800. Its totient is φ = 3850656808960.

The previous prime is 10439161298539. The next prime is 10439161298563. The reversal of 10439161298560 is 6589216193401.

It can be written as a sum of positive squares in 16 ways, for example, as 17782755904 + 10421378542656 = 133352^2 + 3228216^2 .

It is not an unprimeable number, because it can be changed into a prime (10439161298563) 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, 438811146 + ... + 438834934.

Almost surely, 2^{10439161298560} is an apocalyptic number.

10439161298560 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 10439161298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13479603368400).

10439161298560 is an abundant number, since it is smaller than the sum of its proper divisors (16520045438240).

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

10439161298560 is a wasteful number, since it uses less digits than its factorization.

10439161298560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24639 (or 24627 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 55.

The spelling of 10439161298560 in words is "ten trillion, four hundred thirty-nine billion, one hundred sixty-one million, two hundred ninety-eight thousand, five hundred sixty".