5005817589090 has 64 divisors (see below), whose sum is σ = 12125423692800. Its totient is φ = 1322502591744.

The previous prime is 5005817589083. The next prime is 5005817589163. The reversal of 5005817589090 is 909857185005.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 5005817589090.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34140856 + ... + 34287164.

It is an arithmetic number, because the mean of its divisors is an integer number (189459745200).

Almost surely, 2^{5005817589090} is an apocalyptic number.

5005817589090 is an abundant number, since it is smaller than the sum of its proper divisors (7119606103710).

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

5005817589090 is a wasteful number, since it uses less digits than its factorization.

5005817589090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156891.

The product of its (nonzero) digits is 4536000, while the sum is 57.

The spelling of 5005817589090 in words is "five trillion, five billion, eight hundred seventeen million, five hundred eighty-nine thousand, ninety".