5005105056006 has 16 divisors (see below), whose sum is σ = 10920229213248. Its totient is φ = 1516698501800.

The previous prime is 5005105055963. The next prime is 5005105056059. The reversal of 5005105056006 is 6006505015005.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37917462480 + ... + 37917462611.

It is an arithmetic number, because the mean of its divisors is an integer number (682514325828).

Almost surely, 2^{5005105056006} is an apocalyptic number.

5005105056006 is an abundant number, since it is smaller than the sum of its proper divisors (5915124157242).

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

5005105056006 is a wasteful number, since it uses less digits than its factorization.

5005105056006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75834925107.

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 5005105056006 in words is "five trillion, five billion, one hundred five million, fifty-six thousand, six".