27830634261 has 16 divisors (see below), whose sum is σ = 39345004800. Its totient is φ = 17438048768.

The previous prime is 27830634217. The next prime is 27830634269. The reversal of 27830634261 is 16243603872.

It is a cyclic number.

It is not a de Polignac number, because 27830634261 - 2¹⁵ = 27830601493 is a prime.

It is a super-2 number, since 2×27830634261² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27830634269) 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, 342816 + ... + 416153.

It is an arithmetic number, because the mean of its divisors is an integer number (2459062800).

Almost surely, 2^27830634261 is an apocalyptic number.

It is an amenable number.

27830634261 is a deficient number, since it is larger than the sum of its proper divisors (11514370539).

27830634261 is a wasteful number, since it uses less digits than its factorization.

27830634261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759708.

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 27830634261 in words is "twenty-seven billion, eight hundred thirty million, six hundred thirty-four thousand, two hundred sixty-one".