27100817727488 has 126 divisors (see below), whose sum is σ = 54789844704699. Its totient is φ = 13404107702272.

The previous prime is 27100817727449. The next prime is 27100817727491. The reversal of 27100817727488 is 88472771800172.

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.

It can be written as a sum of positive squares in 5 ways, for example, as 5593187160064 + 21507630567424 = 2364992^2 + 4637632^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=3681088.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27100817727488.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53243256578 + ... + 53243257086.

Almost surely, 2^{27100817727488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27100817727488

27100817727488 is an abundant number, since it is smaller than the sum of its proper divisors (27689026977211).

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

27100817727488 is an frugal number, since it uses more digits than its factorization.

27100817727488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 19668992, while the sum is 62.

The spelling of 27100817727488 in words is "twenty-seven trillion, one hundred billion, eight hundred seventeen million, seven hundred twenty-seven thousand, four hundred eighty-eight".