27305808375769 has 16 divisors (see below), whose sum is σ = 35835373946880. Its totient is φ = 20157397842960.

The previous prime is 27305808375739. The next prime is 27305808375823. The reversal of 27305808375769 is 96757380850372.

It is a happy number.

It is not a de Polignac number, because 27305808375769 - 2⁵ = 27305808375737 is a prime.

It is a super-2 number, since 2×27305808375769² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27305808375698 and 27305808375707.

It is not an unprimeable number, because it can be changed into a prime (27305808375739) 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, 9332127169 + ... + 9332130094.

It is an arithmetic number, because the mean of its divisors is an integer number (2239710871680).

Almost surely, 2^{27305808375769} is an apocalyptic number.

It is an amenable number.

27305808375769 is a deficient number, since it is larger than the sum of its proper divisors (8529565571111).

27305808375769 is a wasteful number, since it uses less digits than its factorization.

27305808375769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18664257300.

The product of its (nonzero) digits is 533433600, while the sum is 70.

The spelling of 27305808375769 in words is "twenty-seven trillion, three hundred five billion, eight hundred eight million, three hundred seventy-five thousand, seven hundred sixty-nine".