27715135201 has 16 divisors (see below), whose sum is σ = 30088407888. Its totient is φ = 25377177600.

The previous prime is 27715135199. The next prime is 27715135229. The reversal of 27715135201 is 10253151772.

It can be written as a sum of positive squares in 8 ways, for example, as 8431646976 + 19283488225 = 91824^2 + 138865^2 .

It is a cyclic number.

It is not a de Polignac number, because 27715135201 - 2¹ = 27715135199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27715135601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787971 + ... + 822391.

It is an arithmetic number, because the mean of its divisors is an integer number (1880525493).

Almost surely, 2^27715135201 is an apocalyptic number.

It is an amenable number.

27715135201 is a deficient number, since it is larger than the sum of its proper divisors (2373272687).

27715135201 is a wasteful number, since it uses less digits than its factorization.

27715135201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34932.

The product of its (nonzero) digits is 14700, while the sum is 34.

Adding to 27715135201 its reverse (10253151772), we get a palindrome (37968286973).

The spelling of 27715135201 in words is "twenty-seven billion, seven hundred fifteen million, one hundred thirty-five thousand, two hundred one".