13927705381200 has 240 divisors, whose sum is σ = 49703807502720. Its totient is φ = 3310138890240.

The previous prime is 13927705381199. The next prime is 13927705381253. The reversal of 13927705381200 is 218350772931.

13927705381200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13927705381200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14940732 + ... + 15845531.

It is an arithmetic number, because the mean of its divisors is an integer number (207099197928).

Almost surely, 2^{13927705381200} is an apocalyptic number.

13927705381200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13927705381200 is an abundant number, since it is smaller than the sum of its proper divisors (35776102121520).

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

13927705381200 is a wasteful number, since it uses less digits than its factorization.

13927705381200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30786326 (or 30786315 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 13927705381200 in words is "thirteen trillion, nine hundred twenty-seven billion, seven hundred five million, three hundred eighty-one thousand, two hundred".