27622107601 has 27 divisors (see below), whose sum is σ = 31505009809. Its totient is φ = 24198574400.

The previous prime is 27622107589. The next prime is 27622107619. The reversal of 27622107601 is 10670122672.

The square root of 27622107601 is 166199.

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 1046587201 + 26575520400 = 32351^2 + 163020^2 .

It is not a de Polignac number, because 27622107601 - 2⁷ = 27622107473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27622107691) 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, 53017221 + ... + 53017741.

Almost surely, 2^27622107601 is an apocalyptic number.

27622107601 is the 166199-th square number.

27622107601 is the 83100-th centered octagonal number.

It is an amenable number.

27622107601 is a deficient number, since it is larger than the sum of its proper divisors (3882902208).

27622107601 is an frugal number, since it uses more digits than its factorization.

27622107601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 27622107601 in words is "twenty-seven billion, six hundred twenty-two million, one hundred seven thousand, six hundred one".