12835006058496 has 416 divisors, whose sum is σ = 35889343805952. Its totient is φ = 4075678597120.

The previous prime is 12835006058449. The next prime is 12835006058507. The reversal of 12835006058496 is 69485060053821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6221523961 + ... + 6221526023.

It is an arithmetic number, because the mean of its divisors is an integer number (86272461072).

Almost surely, 2^{12835006058496} is an apocalyptic number.

12835006058496 is a gapful number since it is divisible by the number (16) 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 12835006058496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17944671902976).

12835006058496 is an abundant number, since it is smaller than the sum of its proper divisors (23054337747456).

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

12835006058496 is a wasteful number, since it uses less digits than its factorization.

12835006058496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 12835006058496 in words is "twelve trillion, eight hundred thirty-five billion, six million, fifty-eight thousand, four hundred ninety-six".