12839858304 has 512 divisors, whose sum is σ = 44910028800. Its totient is φ = 3155853312.

The previous prime is 12839858279. The next prime is 12839858377. The reversal of 12839858304 is 40385893821.

It is a super-2 number, since 2×12839858304² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55106572 + ... + 55106804.

It is an arithmetic number, because the mean of its divisors is an integer number (87714900).

Almost surely, 2^12839858304 is an apocalyptic number.

12839858304 is a gapful number since it is divisible by the number (14) 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 12839858304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22455014400).

12839858304 is an abundant number, since it is smaller than the sum of its proper divisors (32070170496).

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

12839858304 is a wasteful number, since it uses less digits than its factorization.

12839858304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 12839858304 in words is "twelve billion, eight hundred thirty-nine million, eight hundred fifty-eight thousand, three hundred four".