27855276201 has 9 divisors (see below), whose sum is σ = 40236122199. Its totient is φ = 18569850336.

The previous prime is 27855276199. The next prime is 27855276233. The reversal of 27855276201 is 10267255872.

The square root of 27855276201 is 166899.

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

27855276201 is a `hidden beast` number, since 2 + 7 + 8 + 552 + 76 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2946861225 + 24908414976 = 54285^2 + 157824^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 27855276201 - 2¹ = 27855276199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27855277201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 472881 + ... + 528513.

Almost surely, 2^27855276201 is an apocalyptic number.

27855276201 is the 166899-th square number.

27855276201 is the 83450-th centered octagonal number.

It is an amenable number.

27855276201 is a deficient number, since it is larger than the sum of its proper divisors (12380845998).

27855276201 is an frugal number, since it uses more digits than its factorization.

27855276201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111272 (or 55636 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 27855276201 in words is "twenty-seven billion, eight hundred fifty-five million, two hundred seventy-six thousand, two hundred one".