27790557025 has 81 divisors (see below), whose sum is σ = 44163972153. Its totient is φ = 17283974400.

The previous prime is 27790557019. The next prime is 27790557031. The reversal of 27790557025 is 52075509772.

The square root of 27790557025 is 166705.

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

It is an interprime number because it is at equal distance from previous prime (27790557019) and next prime (27790557031).

It can be written as a sum of positive squares in 4 ways, for example, as 8495124561 + 19295432464 = 92169^2 + 138908^2 .

It is not a de Polignac number, because 27790557025 - 2³ = 27790557017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 27790557025.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 64181209 + ... + 64181641.

Almost surely, 2^27790557025 is an apocalyptic number.

27790557025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27790557025 is the 166705-th square number.

27790557025 is the 83353-rd centered octagonal number.

It is an amenable number.

27790557025 is a deficient number, since it is larger than the sum of its proper divisors (16373415128).

27790557025 is an equidigital number, since it uses as much as digits as its factorization.

27790557025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 1543500, while the sum is 49.

Multiplying 27790557025 by its sum of digits (49), we get a square (1361737294225 = 1166935²).

27790557025 divided by its sum of digits (49) gives a square (567154225 = 23815²).

The spelling of 27790557025 in words is "twenty-seven billion, seven hundred ninety million, five hundred fifty-seven thousand, twenty-five".