10005338666672 has 20 divisors (see below), whose sum is σ = 19448488118136. Its totient is φ = 4986373991040.

The previous prime is 10005338666623. The next prime is 10005338666677. The reversal of 10005338666672 is 27666683350001.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10005338666677) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1018453829 + ... + 1018463652.

Almost surely, 2^{10005338666672} is an apocalyptic number.

It is an amenable number.

10005338666672 is a deficient number, since it is larger than the sum of its proper divisors (9443149451464).

10005338666672 is a wasteful number, since it uses less digits than its factorization.

10005338666672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036917796 (or 2036917790 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 53.

The spelling of 10005338666672 in words is "ten trillion, five billion, three hundred thirty-eight million, six hundred sixty-six thousand, six hundred seventy-two".