10005016660675 has 24 divisors (see below), whose sum is σ = 12877965757440. Its totient is φ = 7702546509600.

The previous prime is 10005016660663. The next prime is 10005016660697. The reversal of 10005016660675 is 57606661050001.

It is not a de Polignac number, because 10005016660675 - 2¹⁷ = 10005016529603 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35921887 + ... + 36199336.

It is an arithmetic number, because the mean of its divisors is an integer number (536581906560).

Almost surely, 2^{10005016660675} is an apocalyptic number.

10005016660675 is a deficient number, since it is larger than the sum of its proper divisors (2872949096765).

10005016660675 is a wasteful number, since it uses less digits than its factorization.

10005016660675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72121443 (or 72121438 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 10005016660675 in words is "ten trillion, five billion, sixteen million, six hundred sixty thousand, six hundred seventy-five".