27198300609601 has 27 divisors (see below), whose sum is σ = 30195279656577. Its totient is φ = 24480352713960.

The previous prime is 27198300609511. The next prime is 27198300609619. The reversal of 27198300609601 is 10690600389172.

It is a happy number.

The square root of 27198300609601 is 5215199.

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

It is not a de Polignac number, because 27198300609601 - 2¹⁵ = 27198300576833 is a prime.

It is a super-3 number, since 3×27198300609601³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27198300609631) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5908818166 + ... + 5908822768.

Almost surely, 2^{27198300609601} is an apocalyptic number.

27198300609601 is the 5215199-th square number.

27198300609601 is the 2607600-th centered octagonal number.

It is an amenable number.

27198300609601 is a deficient number, since it is larger than the sum of its proper divisors (2996979046976).

27198300609601 is an frugal number, since it uses more digits than its factorization.

27198300609601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9434 (or 4717 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The spelling of 27198300609601 in words is "twenty-seven trillion, one hundred ninety-eight billion, three hundred million, six hundred nine thousand, six hundred one".