27697280625 has 135 divisors (see below), whose sum is σ = 58339127847. Its totient is φ = 12621672000.

The previous prime is 27697280603. The next prime is 27697280627. The reversal of 27697280625 is 52608279672.

The square root of 27697280625 is 166425.

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

27697280625 is a `hidden beast` number, since 2 + 7 + 6 + 9 + 7 + 2 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 27641390049 + 55890576 = 166257^2 + 7476^2 .

It is not a de Polignac number, because 27697280625 - 2²¹ = 27695183473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27697280627) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 87372967 + ... + 87373283.

Almost surely, 2^27697280625 is an apocalyptic number.

27697280625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27697280625 is the 166425-th square number.

27697280625 is the 83213-rd centered octagonal number.

It is an amenable number.

27697280625 is an abundant number, since it is smaller than the sum of its proper divisors (30641847222).

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

27697280625 is an frugal number, since it uses more digits than its factorization.

27697280625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 27697280625 in words is "twenty-seven billion, six hundred ninety-seven million, two hundred eighty thousand, six hundred twenty-five".