13795838056 has 256 divisors, whose sum is σ = 36100753920. Its totient is φ = 4769280000.

The previous prime is 13795838051. The next prime is 13795838083. The reversal of 13795838056 is 65083859731.

It is a junction number, because it is equal to n+sod(n) for n = 13795837988 and 13795838006.

It is not an unprimeable number, because it can be changed into a prime (13795838051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29925666 + ... + 29926126.

It is an arithmetic number, because the mean of its divisors is an integer number (141018570).

Almost surely, 2^13795838056 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 13795838056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18050376960).

13795838056 is an abundant number, since it is smaller than the sum of its proper divisors (22304915864).

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

13795838056 is a wasteful number, since it uses less digits than its factorization.

13795838056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 13795838056 in words is "thirteen billion, seven hundred ninety-five million, eight hundred thirty-eight thousand, fifty-six".