27430978129 has 27 divisors (see below), whose sum is σ = 30344216553. Its totient is φ = 24791775624.

The previous prime is 27430978117. The next prime is 27430978163. The reversal of 27430978129 is 92187903472.

The square root of 27430978129 is 165623.

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

It is not a de Polignac number, because 27430978129 - 2¹¹ = 27430976081 is a prime.

It is a super-2 number, since 2×27430978129² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27430976129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72377062 + ... + 72377440.

Almost surely, 2^27430978129 is an apocalyptic number.

27430978129 is the 165623-rd square number.

27430978129 is the 82812-nd centered octagonal number.

It is an amenable number.

27430978129 is a deficient number, since it is larger than the sum of its proper divisors (2913238424).

27430978129 is an frugal number, since it uses more digits than its factorization.

27430978129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 27430978129 in words is "twenty-seven billion, four hundred thirty million, nine hundred seventy-eight thousand, one hundred twenty-nine".