27604161025 has 81 divisors (see below), whose sum is σ = 41089590057. Its totient is φ = 18342408000.

The previous prime is 27604160993. The next prime is 27604161029. The reversal of 27604161025 is 52016140672.

The square root of 27604161025 is 166145.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5096960449 + 22507200576 = 71393^2 + 150024^2 .

It is not a de Polignac number, because 27604161025 - 2⁵ = 27604160993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27604161029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 273308475 + ... + 273308575.

Almost surely, 2^27604161025 is an apocalyptic number.

27604161025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27604161025 is the 166145-th square number.

27604161025 is the 83073-rd centered octagonal number.

It is an amenable number.

27604161025 is a deficient number, since it is larger than the sum of its proper divisors (13485429032).

27604161025 is an equidigital number, since it uses as much as digits as its factorization.

27604161025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 27604161025 in words is "twenty-seven billion, six hundred four million, one hundred sixty-one thousand, twenty-five".