13920727080960 has 4032 divisors, whose sum is σ = 65198317347072. Its totient is φ = 2825266397184.

The previous prime is 13920727080941. The next prime is 13920727081003. The reversal of 13920727080960 is 6908072702931.

13920727080960 is a `hidden beast` number, since 1 + 3 + 9 + 207 + 270 + 80 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a junction number, because it is equal to n+sod(n) for n = 13920727080897 and 13920727080906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 190694891484 + ... + 190694891556.

It is an arithmetic number, because the mean of its divisors is an integer number (16170217596).

Almost surely, 2^{13920727080960} is an apocalyptic number.

13920727080960 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 13920727080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32599158673536).

13920727080960 is an abundant number, since it is smaller than the sum of its proper divisors (51277590266112).

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

13920727080960 is an equidigital number, since it uses as much as digits as its factorization.

13920727080960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 13920727080960 in words is "thirteen trillion, nine hundred twenty billion, seven hundred twenty-seven million, eighty thousand, nine hundred sixty".