27723247201 has 8 divisors (see below), whose sum is σ = 30583995624. Its totient is φ = 24966526080.

The previous prime is 27723247129. The next prime is 27723247231. The reversal of 27723247201 is 10274232772.

It can be written as a sum of positive squares in 4 ways, for example, as 17977600 + 27705269601 = 4240^2 + 166449^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27723247201 - 2¹⁵ = 27723214433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27723247231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26006266 + ... + 26007331.

It is an arithmetic number, because the mean of its divisors is an integer number (3822999453).

Almost surely, 2^27723247201 is an apocalyptic number.

It is an amenable number.

27723247201 is a deficient number, since it is larger than the sum of its proper divisors (2860748423).

27723247201 is a wasteful number, since it uses less digits than its factorization.

27723247201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52013651.

The product of its (nonzero) digits is 65856, while the sum is 37.

Adding to 27723247201 its reverse (10274232772), we get a palindrome (37997479973).

The spelling of 27723247201 in words is "twenty-seven billion, seven hundred twenty-three million, two hundred forty-seven thousand, two hundred one".