27556725302500 has 135 divisors (see below), whose sum is σ = 61212953430783. Its totient is φ = 10851243084000.

The previous prime is 27556725302489. The next prime is 27556725302527. The reversal of 27556725302500 is 520352765572.

The square root of 27556725302500 is 5249450.

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

It can be written as a sum of positive squares in 2 ways, for example, as 2160447263716 + 25396278038784 = 1469846^2 + 5039472^2 .

It is a super-3 number, since 3×27556725302500³ (a number of 41 digits) contains 333 as substring.

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 44 ways as a sum of consecutive naturals, for example, 17585656717 + ... + 17585658283.

Almost surely, 2^{27556725302500} is an apocalyptic number.

27556725302500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27556725302500 is the 5249450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27556725302500

27556725302500 is an abundant number, since it is smaller than the sum of its proper divisors (33656228128283).

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

27556725302500 is an frugal number, since it uses more digits than its factorization.

27556725302500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 4410000, while the sum is 49.

The spelling of 27556725302500 in words is "twenty-seven trillion, five hundred fifty-six billion, seven hundred twenty-five million, three hundred two thousand, five hundred".