12839823360 has 576 divisors, whose sum is σ = 54805645440. Its totient is φ = 2707292160.

The previous prime is 12839823331. The next prime is 12839823371. The reversal of 12839823360 is 6332893821.

12839823360 is a `hidden beast` number, since 1 + 28 + 398 + 233 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×12839823360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8385795 + ... + 8387325.

It is an arithmetic number, because the mean of its divisors is an integer number (95148690).

Almost surely, 2^12839823360 is an apocalyptic number.

12839823360 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 12839823360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27402822720).

12839823360 is an abundant number, since it is smaller than the sum of its proper divisors (41965822080).

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

12839823360 is a wasteful number, since it uses less digits than its factorization.

12839823360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 12839823360 in words is "twelve billion, eight hundred thirty-nine million, eight hundred twenty-three thousand, three hundred sixty".