12839570032640 has 384 divisors, whose sum is σ = 33936791616000. Its totient is φ = 4632555552768.

The previous prime is 12839570032621. The next prime is 12839570032643. The reversal of 12839570032640 is 4623007593821.

It is not an unprimeable number, because it can be changed into a prime (12839570032643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5374452566 + ... + 5374454954.

It is an arithmetic number, because the mean of its divisors is an integer number (88377061500).

It is a 1-persistent number, because it is pandigital, but 2⋅12839570032640 = 25679140065280 is not.

Almost surely, 2^{12839570032640} is an apocalyptic number.

12839570032640 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 12839570032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16968395808000).

12839570032640 is an abundant number, since it is smaller than the sum of its proper divisors (21097221583360).

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

12839570032640 is a wasteful number, since it uses less digits than its factorization.

12839570032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3335 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

The spelling of 12839570032640 in words is "twelve trillion, eight hundred thirty-nine billion, five hundred seventy million, thirty-two thousand, six hundred forty".