27257679801 has 27 divisors (see below), whose sum is σ = 43285537477. Its totient is φ = 16516503960.

The previous prime is 27257679791. The next prime is 27257679803. The reversal of 27257679801 is 10897675272.

It is a happy number.

The square root of 27257679801 is 165099.

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

It is not a de Polignac number, because 27257679801 - 2²⁹ = 26720808889 is a prime.

It is a super-2 number, since 2×27257679801² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27257679803) 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, 5445766 + ... + 5450768.

Almost surely, 2^27257679801 is an apocalyptic number.

27257679801 is the 165099-th square number.

27257679801 is the 82550-th centered octagonal number.

It is an amenable number.

27257679801 is a deficient number, since it is larger than the sum of its proper divisors (16027857676).

27257679801 is an frugal number, since it uses more digits than its factorization.

27257679801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10034 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 27257679801 in words is "twenty-seven billion, two hundred fifty-seven million, six hundred seventy-nine thousand, eight hundred one".