705408585579 has 12 divisors (see below), whose sum is σ = 1020161583376. Its totient is φ = 469700973072.

The previous prime is 705408585551. The next prime is 705408585653. The reversal of 705408585579 is 975585804507.

705408585579 is a `hidden beast` number, since 7 + 0 + 5 + 4 + 0 + 8 + 58 + 5 + 579 = 666.

It is not a de Polignac number, because 705408585579 - 2²⁷ = 705274367851 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (705408505579) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47610292 + ... + 47625105.

Almost surely, 2^705408585579 is an apocalyptic number.

705408585579 is a deficient number, since it is larger than the sum of its proper divisors (314752997797).

705408585579 is a wasteful number, since it uses less digits than its factorization.

705408585579 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95236226 (or 95236223 counting only the distinct ones).

The product of its (nonzero) digits is 70560000, while the sum is 63.

The spelling of 705408585579 in words is "seven hundred five billion, four hundred eight million, five hundred eighty-five thousand, five hundred seventy-nine".