27481328505 has 48 divisors (see below), whose sum is σ = 49299488784. Its totient is φ = 14151720960.

The previous prime is 27481328489. The next prime is 27481328507. The reversal of 27481328505 is 50582318472.

27481328505 is a `hidden beast` number, since 2 + 7 + 4 + 8 + 132 + 8 + 505 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 74857104 + 27406471401 = 8652^2 + 165549^2 .

It is not a de Polignac number, because 27481328505 - 2⁴ = 27481328489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (27481328507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102187 + ... + 255743.

It is an arithmetic number, because the mean of its divisors is an integer number (1027072683).

Almost surely, 2^27481328505 is an apocalyptic number.

It is an amenable number.

27481328505 is a deficient number, since it is larger than the sum of its proper divisors (21818160279).

27481328505 is a wasteful number, since it uses less digits than its factorization.

27481328505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153706 (or 153703 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 27481328505 in words is "twenty-seven billion, four hundred eighty-one million, three hundred twenty-eight thousand, five hundred five".