10006616616505 has 16 divisors (see below), whose sum is σ = 12017419367184. Its totient is φ = 7998976184320.

The previous prime is 10006616616497. The next prime is 10006616616517. The reversal of 10006616616505 is 50561661660001.

It can be written as a sum of positive squares in 8 ways, for example, as 1310741055376 + 8695875561129 = 1144876^2 + 2948877^2 .

It is not a de Polignac number, because 10006616616505 - 2³ = 10006616616497 is a prime.

It is a super-2 number, since 2×10006616616505² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32274399 + ... + 32582971.

It is an arithmetic number, because the mean of its divisors is an integer number (751088710449).

Almost surely, 2^{10006616616505} is an apocalyptic number.

It is an amenable number.

10006616616505 is a deficient number, since it is larger than the sum of its proper divisors (2010802750679).

10006616616505 is a wasteful number, since it uses less digits than its factorization.

10006616616505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313676.

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 10006616616505 in words is "ten trillion, six billion, six hundred sixteen million, six hundred sixteen thousand, five hundred five".