13829048560053 has 24 divisors (see below), whose sum is σ = 21152907554688. Its totient is φ = 8675984234112.

The previous prime is 13829048559701. The next prime is 13829048560417. The reversal of 13829048560053 is 35006584092831.

13829048560053 is a `hidden beast` number, since 1 + 3 + 8 + 29 + 0 + 4 + 8 + 5 + 600 + 5 + 3 = 666.

It is not a de Polignac number, because 13829048560053 - 2²⁶ = 13828981451189 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13829048560753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4300701 + ... + 6793682.

It is an arithmetic number, because the mean of its divisors is an integer number (881371148112).

Almost surely, 2^{13829048560053} is an apocalyptic number.

It is an amenable number.

13829048560053 is a deficient number, since it is larger than the sum of its proper divisors (7323858994635).

13829048560053 is a wasteful number, since it uses less digits than its factorization.

13829048560053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11102553 (or 11102550 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 13829048560053 in words is "thirteen trillion, eight hundred twenty-nine billion, forty-eight million, five hundred sixty thousand, fifty-three".