12839270400 has 864 divisors, whose sum is σ = 53469234000. Its totient is φ = 2909798400.

The previous prime is 12839270399. The next prime is 12839270413. The reversal of 12839270400 is 407293821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86169526 + ... + 86169674.

Almost surely, 2^12839270400 is an apocalyptic number.

12839270400 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 12839270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26734617000).

12839270400 is an abundant number, since it is smaller than the sum of its proper divisors (40629963600).

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

12839270400 is a wasteful number, since it uses less digits than its factorization.

12839270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12839270400 in words is "twelve billion, eight hundred thirty-nine million, two hundred seventy thousand, four hundred".