13871825856000 has 2560 divisors, whose sum is σ = 60896942346240. Its totient is φ = 3047030784000.

The previous prime is 13871825855999. The next prime is 13871825856011. The reversal of 13871825856000 is 65852817831.

13871825856000 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 1 + 8 + 25 + 8 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 41162687832 + ... + 41162688168.

It is an arithmetic number, because the mean of its divisors is an integer number (23787868104).

Almost surely, 2^{13871825856000} is an apocalyptic number.

13871825856000 is a gapful number since it is divisible by the number (10) 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 13871825856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30448471173120).

13871825856000 is an abundant number, since it is smaller than the sum of its proper divisors (47025116490240).

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

13871825856000 is an equidigital number, since it uses as much as digits as its factorization.

13871825856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 13871825856000 in words is "thirteen trillion, eight hundred seventy-one billion, eight hundred twenty-five million, eight hundred fifty-six thousand".