10005338667672 has 24 divisors (see below), whose sum is σ = 27097792225140. Its totient is φ = 3335112889200.

The previous prime is 10005338667661. The next prime is 10005338667673. The reversal of 10005338667672 is 27676683350001.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005338667673) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69481518454 + ... + 69481518597.

Almost surely, 2^{10005338667672} is an apocalyptic number.

10005338667672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10005338667672 is an abundant number, since it is smaller than the sum of its proper divisors (17092453557468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10005338667672 is a wasteful number, since it uses less digits than its factorization.

10005338667672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138963037063 (or 138963037056 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 10005338667672 in words is "ten trillion, five billion, three hundred thirty-eight million, six hundred sixty-seven thousand, six hundred seventy-two".