27670659025 has 81 divisors (see below), whose sum is σ = 38845091601. Its totient is φ = 19546202880.

The previous prime is 27670659001. The next prime is 27670659031. The reversal of 27670659025 is 52095607672.

The square root of 27670659025 is 166345.

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 647244481 + 27023414544 = 25441^2 + 164388^2 .

It is not a de Polignac number, because 27670659025 - 2¹¹ = 27670656977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27670659025.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 268647124 + ... + 268647226.

Almost surely, 2^27670659025 is an apocalyptic number.

27670659025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27670659025 is the 166345-th square number.

27670659025 is the 83173-rd centered octagonal number.

It is an amenable number.

27670659025 is a deficient number, since it is larger than the sum of its proper divisors (11174432576).

27670659025 is a wasteful number, since it uses less digits than its factorization.

27670659025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 49.

Multiplying 27670659025 by its sum of digits (49), we get a square (1355862292225 = 1164415²).

The spelling of 27670659025 in words is "twenty-seven billion, six hundred seventy million, six hundred fifty-nine thousand, twenty-five".