21585668071679 has 8 divisors (see below), whose sum is σ = 23112215650080. Its totient is φ = 20087654093056.

The previous prime is 21585668071619. The next prime is 21585668071811. The reversal of 21585668071679 is 97617086658512.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21585668071679 is a prime.

It is a super-2 number, since 2×21585668071679² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21585668071619) 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, 7133398379 + ... + 7133401404.

It is an arithmetic number, because the mean of its divisors is an integer number (2889026956260).

Almost surely, 2^{21585668071679} is an apocalyptic number.

21585668071679 is a deficient number, since it is larger than the sum of its proper divisors (1526547578401).

21585668071679 is a wasteful number, since it uses less digits than its factorization.

21585668071679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14266799889.

The product of its (nonzero) digits is 304819200, while the sum is 71.

The spelling of 21585668071679 in words is "twenty-one trillion, five hundred eighty-five billion, six hundred sixty-eight million, seventy-one thousand, six hundred seventy-nine".