13829048560056 has 128 divisors (see below), whose sum is σ = 36355887360000. Its totient is φ = 4375114051968.

The previous prime is 13829048559701. The next prime is 13829048560417. The reversal of 13829048560056 is 65006584092831.

It is a lonely number, since its distance to closest prime (13829048559701) sets a new record.

It is a junction number, because it is equal to n+sod(n) for n = 13829048559978 and 13829048560005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55570995 + ... + 55819293.

It is an arithmetic number, because the mean of its divisors is an integer number (284030370000).

Almost surely, 2^{13829048560056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13829048560056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18177943680000).

13829048560056 is an abundant number, since it is smaller than the sum of its proper divisors (22526838799944).

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

13829048560056 is a wasteful number, since it uses less digits than its factorization.

13829048560056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249113 (or 249109 counting only the distinct ones).

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

The spelling of 13829048560056 in words is "thirteen trillion, eight hundred twenty-nine billion, forty-eight million, five hundred sixty thousand, fifty-six".