13839383010180 has 768 divisors, whose sum is σ = 51236720640000. Its totient is φ = 2708136198144.

The previous prime is 13839383010169. The next prime is 13839383010289. The reversal of 13839383010180 is 8101038393831.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 4538989296 + ... + 4538992344.

It is an arithmetic number, because the mean of its divisors is an integer number (66714480000).

Almost surely, 2^{13839383010180} is an apocalyptic number.

13839383010180 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 13839383010180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25618360320000).

13839383010180 is an abundant number, since it is smaller than the sum of its proper divisors (37397337629820).

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

13839383010180 is a wasteful number, since it uses less digits than its factorization.

13839383010180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 13839383010180 in words is "thirteen trillion, eight hundred thirty-nine billion, three hundred eighty-three million, ten thousand, one hundred eighty".