13829048560059 has 8 divisors (see below), whose sum is σ = 18460196761920. Its totient is φ = 9208633032456.

The previous prime is 13829048559701. The next prime is 13829048560417. The reversal of 13829048560059 is 95006584092831.

It is an interprime number because it is at equal distance from previous prime (13829048559701) and next prime (13829048560417).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13829048560059 - 2¹² = 13829048555963 is a prime.

It is a lonely number, since its distance to closest prime (13829048560417) sets a new record.

It is a junction number, because it is equal to n+sod(n) for n = 13829048559984 and 13829048560011.

It is not an unprimeable number, because it can be changed into a prime (13829048360059) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2683165557 + ... + 2683170710.

It is an arithmetic number, because the mean of its divisors is an integer number (2307524595240).

Almost surely, 2^{13829048560059} is an apocalyptic number.

13829048560059 is a deficient number, since it is larger than the sum of its proper divisors (4631148201861).

13829048560059 is an equidigital number, since it uses as much as digits as its factorization.

13829048560059 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5366337129.

The product of its (nonzero) digits is 18662400, while the sum is 60.

The spelling of 13829048560059 in words is "thirteen trillion, eight hundred twenty-nine billion, forty-eight million, five hundred sixty thousand, fifty-nine".