27790557305625 has 45 divisors (see below), whose sum is σ = 50162052023083. Its totient is φ = 14821419696000.

The previous prime is 27790557305611. The next prime is 27790557305653. The reversal of 27790557305625 is 52650375509772.

The square root of 27790557305625 is 5271675.

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

27790557305625 is a `hidden beast` number, since 2 + 7 + 7 + 9 + 0 + 5 + 573 + 0 + 56 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 3163634952921 + 24626922352704 = 1778661^2 + 4962552^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 27790557305625 - 2²⁷ = 27790423087897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 395340481 + ... + 395410769.

Almost surely, 2^{27790557305625} is an apocalyptic number.

27790557305625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27790557305625 is the 5271675-th square number.

27790557305625 is the 2635838-th centered octagonal number.

It is an amenable number.

27790557305625 is a deficient number, since it is larger than the sum of its proper divisors (22371494717458).

27790557305625 is an frugal number, since it uses more digits than its factorization.

27790557305625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140604 (or 70297 counting only the distinct ones).

The product of its (nonzero) digits is 138915000, while the sum is 63.

The spelling of 27790557305625 in words is "twenty-seven trillion, seven hundred ninety billion, five hundred fifty-seven million, three hundred five thousand, six hundred twenty-five".