71665056617 has 8 divisors (see below), whose sum is σ = 89348642112. Its totient is φ = 55842901200.

The previous prime is 71665056599. The next prime is 71665056689.

71665056617 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 71665056617 - 2⁶ = 71665056553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71665056017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 465357434 + ... + 465357587.

It is an arithmetic number, because the mean of its divisors is an integer number (11168580264).

Almost surely, 2^71665056617 is an apocalyptic number.

71665056617 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

71665056617 is a deficient number, since it is larger than the sum of its proper divisors (17683585495).

71665056617 is a wasteful number, since it uses less digits than its factorization.

71665056617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930715039.

The product of its (nonzero) digits is 1587600, while the sum is 50.

The spelling of 71665056617 in words is "seventy-one billion, six hundred sixty-five million, fifty-six thousand, six hundred seventeen".