27677437074225 has 27 divisors (see below), whose sum is σ = 49573506414913. Its totient is φ = 14761257685440.

The previous prime is 27677437074197. The next prime is 27677437074233. The reversal of 27677437074225 is 52247073477672.

The square root of 27677437074225 is 5260935.

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

27677437074225 is a `hidden beast` number, since 2 + 76 + 7 + 74 + 3 + 70 + 7 + 422 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12010944793761 + 15666492280464 = 3465681^2 + 3958092^2 .

It is not a de Polignac number, because 27677437074225 - 2⁷ = 27677437074097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 78738661 + ... + 79089389.

Almost surely, 2^{27677437074225} is an apocalyptic number.

27677437074225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27677437074225 is the 5260935-th square number.

27677437074225 is the 2630468-th centered octagonal number.

It is an amenable number.

27677437074225 is a deficient number, since it is larger than the sum of its proper divisors (21896069340688).

27677437074225 is an frugal number, since it uses more digits than its factorization.

27677437074225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701474 (or 350737 counting only the distinct ones).

The product of its (nonzero) digits is 193616640, while the sum is 63.

The spelling of 27677437074225 in words is "twenty-seven trillion, six hundred seventy-seven billion, four hundred thirty-seven million, seventy-four thousand, two hundred twenty-five".