27977580225 has 243 divisors, whose sum is σ = 61574615427. Its totient is φ = 12572975520.

The previous prime is 27977580203. The next prime is 27977580247. The reversal of 27977580225 is 52208577972.

The square root of 27977580225 is 167265.

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

27977580225 is a `hidden beast` number, since 279 + 7 + 75 + 80 + 225 = 666.

It is an interprime number because it is at equal distance from previous prime (27977580203) and next prime (27977580247).

It can be written as a sum of positive squares in only one way, i.e., 10071928881 + 17905651344 = 100359^2 + 133812^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 27977580225 - 2⁷ = 27977580097 is a prime.

It is a super-2 number, since 2×27977580225² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 474196246 + ... + 474196304.

Almost surely, 2^27977580225 is an apocalyptic number.

27977580225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27977580225 is the 167265-th square number.

27977580225 is the 83633-rd centered octagonal number.

It is an amenable number.

27977580225 is an abundant number, since it is smaller than the sum of its proper divisors (33597035202).

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

27977580225 is an frugal number, since it uses more digits than its factorization.

27977580225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

It can be divided in two parts, 279775 and 80225, that added together give a square (360000 = 600²).

The spelling of 27977580225 in words is "twenty-seven billion, nine hundred seventy-seven million, five hundred eighty thousand, two hundred twenty-five".