27872549408 has 54 divisors (see below), whose sum is σ = 60338628567. Its totient is φ = 12664618560.

The previous prime is 27872549381. The next prime is 27872549417. The reversal of 27872549408 is 80494527872.

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 only one way, i.e., 13936274704 + 13936274704 = 118052^2 + 118052^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=118052.

It is a Duffinian number.

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, 10387235 + ... + 10389917.

Almost surely, 2^27872549408 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 27872549408

27872549408 is an abundant number, since it is smaller than the sum of its proper divisors (32466079159).

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

27872549408 is an frugal number, since it uses more digits than its factorization.

27872549408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5398 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 56.

The spelling of 27872549408 in words is "twenty-seven billion, eight hundred seventy-two million, five hundred forty-nine thousand, four hundred eight".