5005054984167 has 16 divisors (see below), whose sum is σ = 8474167169280. Its totient is φ = 2860031419416.

The previous prime is 5005054984151. The next prime is 5005054984219. The reversal of 5005054984167 is 7614894505005.

It is a happy number.

5005054984167 is a `hidden beast` number, since 5 + 0 + 0 + 5 + 0 + 549 + 84 + 16 + 7 = 666.

It is not a de Polignac number, because 5005054984167 - 2⁴ = 5005054984151 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005054984667) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13240886013 + ... + 13240886390.

It is an arithmetic number, because the mean of its divisors is an integer number (529635448080).

Almost surely, 2^{5005054984167} is an apocalyptic number.

5005054984167 is a deficient number, since it is larger than the sum of its proper divisors (3469112185113).

5005054984167 is a wasteful number, since it uses less digits than its factorization.

5005054984167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26481772419 (or 26481772413 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 5005054984167 in words is "five trillion, five billion, fifty-four million, nine hundred eighty-four thousand, one hundred sixty-seven".