27144829404900 has 81 divisors (see below), whose sum is σ = 85084449646651. Its totient is φ = 7238579494080.

The previous prime is 27144829404887. The next prime is 27144829404907. The reversal of 27144829404900 is 940492844172.

The square root of 27144829404900 is 5210070.

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

27144829404900 is a `hidden beast` number, since 2 + 7 + 144 + 8 + 2 + 9 + 4 + 0 + 490 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5368943141604 + 21775886263296 = 2317098^2 + 4666464^2 .

It is a super-2 number, since 2×27144829404900² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27144829404907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 156215266 + ... + 156388934.

Almost surely, 2^{27144829404900} is an apocalyptic number.

27144829404900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27144829404900 is the 5210070-th square number.

It is an amenable number.

27144829404900 is an abundant number, since it is smaller than the sum of its proper divisors (57939620241751).

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

27144829404900 is an frugal number, since it uses more digits than its factorization.

27144829404900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347358 (or 173679 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 27144829404900 in words is "twenty-seven trillion, one hundred forty-four billion, eight hundred twenty-nine million, four hundred four thousand, nine hundred".