27680293016505 has 12 divisors (see below), whose sum is σ = 47979174562020. Its totient is φ = 14762822942112.

The previous prime is 27680293016461. The next prime is 27680293016561. The reversal of 27680293016505 is 50561039208672.

27680293016505 is a `hidden beast` number, since 2 + 7 + 6 + 80 + 29 + 30 + 1 + 6 + 505 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8590620312576 + 19089672703929 = 2930976^2 + 4369173^2 .

It is not a de Polignac number, because 27680293016505 - 2²⁸ = 27680024581049 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307558811250 + ... + 307558811339.

It is an arithmetic number, because the mean of its divisors is an integer number (3998264546835).

Almost surely, 2^{27680293016505} is an apocalyptic number.

It is an amenable number.

27680293016505 is a deficient number, since it is larger than the sum of its proper divisors (20298881545515).

27680293016505 is a wasteful number, since it uses less digits than its factorization.

27680293016505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615117622600 (or 615117622597 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 27680293016505 in words is "twenty-seven trillion, six hundred eighty billion, two hundred ninety-three million, sixteen thousand, five hundred five".