13957260320256 has 160 divisors (see below), whose sum is σ = 40600657963008. Its totient is φ = 4225576304640.

The previous prime is 13957260320209. The next prime is 13957260320257. The reversal of 13957260320256 is 65202306275931.

It is a junction number, because it is equal to n+sod(n) for n = 13957260320199 and 13957260320208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13957260320257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17985976 + ... + 18745928.

Almost surely, 2^{13957260320256} is an apocalyptic number.

13957260320256 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 13957260320256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20300328981504).

13957260320256 is an abundant number, since it is smaller than the sum of its proper divisors (26643397642752).

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

13957260320256 is a wasteful number, since it uses less digits than its factorization.

13957260320256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761072 (or 761056 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 51.

The spelling of 13957260320256 in words is "thirteen trillion, nine hundred fifty-seven billion, two hundred sixty million, three hundred twenty thousand, two hundred fifty-six".