13727582208 has 108 divisors (see below), whose sum is σ = 39693772755. Its totient is φ = 4570558464.

The previous prime is 13727582201. The next prime is 13727582237. The reversal of 13727582208 is 80228572731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13727582208 is a `hidden beast` number, since 1 + 372 + 7 + 58 + 220 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6863791104 + 6863791104 = 82848^2 + 82848^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=82848.

It is not an unprimeable number, because it can be changed into a prime (13727582201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15906385 + ... + 15907247.

Almost surely, 2^13727582208 is an apocalyptic number.

13727582208 is a gapful number since it is divisible by the number (18) 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 13727582208

13727582208 is an abundant number, since it is smaller than the sum of its proper divisors (25966190547).

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

13727582208 is an frugal number, since it uses more digits than its factorization.

13727582208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 13727582208 in words is "thirteen billion, seven hundred twenty-seven million, five hundred eighty-two thousand, two hundred eight".