27491481805824 has 99 divisors (see below), whose sum is σ = 79382510550577. Its totient is φ = 9163659485184.

The previous prime is 27491481805811. The next prime is 27491481805937. The reversal of 27491481805824 is 42850818419472.

The square root of 27491481805824 is 5243232.

It is a perfect power (a square), and thus also a powerful number.

27491481805824 is a `hidden beast` number, since 2 + 7 + 4 + 9 + 1 + 48 + 1 + 8 + 0 + 582 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17091940377600 + 10399541428224 = 4134240^2 + 3224832^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 503322964 + ... + 503377580.

Almost surely, 2^{27491481805824} is an apocalyptic number.

27491481805824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

27491481805824 is the 5243232-nd square number.

It is an amenable number.

27491481805824 is an abundant number, since it is smaller than the sum of its proper divisors (51891028744753).

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

27491481805824 is an frugal number, since it uses more digits than its factorization.

27491481805824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109260 (or 54622 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 27491481805824 in words is "twenty-seven trillion, four hundred ninety-one billion, four hundred eighty-one million, eight hundred five thousand, eight hundred twenty-four".