13856273208960 has 256 divisors, whose sum is σ = 54359226351360. Its totient is φ = 2923521343488.

The previous prime is 13856273208941. The next prime is 13856273208971. The reversal of 13856273208960 is 6980237265831.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 13856273208894 and 13856273208903.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39478077 + ... + 39827516.

It is an arithmetic number, because the mean of its divisors is an integer number (212340727935).

Almost surely, 2^{13856273208960} is an apocalyptic number.

13856273208960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13856273208960 is an abundant number, since it is smaller than the sum of its proper divisors (40502953142400).

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

13856273208960 is a wasteful number, since it uses less digits than its factorization.

13856273208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79305635 (or 79305623 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 13856273208960 in words is "thirteen trillion, eight hundred fifty-six billion, two hundred seventy-three million, two hundred eight thousand, nine hundred sixty".