27675982321 has 27 divisors (see below), whose sum is σ = 30582751563. Its totient is φ = 25034003280.

The previous prime is 27675982309. The next prime is 27675982333. The reversal of 27675982321 is 12328957672.

It is a happy number.

The square root of 27675982321 is 166361.

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

It is an interprime number because it is at equal distance from previous prime (27675982309) and next prime (27675982333).

It can be written as a sum of positive squares in only one way, i.e., 4094080225 + 23581902096 = 63985^2 + 153564^2 .

It is not a de Polignac number, because 27675982321 - 2⁷ = 27675982193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27675982361) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 144900336 + ... + 144900526.

Almost surely, 2^27675982321 is an apocalyptic number.

27675982321 is the 166361-st square number.

27675982321 is the 83181-st centered octagonal number.

It is an amenable number.

27675982321 is a deficient number, since it is larger than the sum of its proper divisors (2906769242).

27675982321 is an frugal number, since it uses more digits than its factorization.

27675982321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 271 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 52.

The spelling of 27675982321 in words is "twenty-seven billion, six hundred seventy-five million, nine hundred eighty-two thousand, three hundred twenty-one".