5005005005558 has 32 divisors (see below), whose sum is σ = 8178353568000. Its totient is φ = 2288141805600.

The previous prime is 5005005005551. The next prime is 5005005005629. The reversal of 5005005005558 is 8555005005005.

It is a super-3 number, since 3×5005005005558³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005005005551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1921013 + ... + 3701391.

It is an arithmetic number, because the mean of its divisors is an integer number (255573549000).

Almost surely, 2^{5005005005558} is an apocalyptic number.

5005005005558 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

5005005005558 is a deficient number, since it is larger than the sum of its proper divisors (3173348562442).

5005005005558 is a wasteful number, since it uses less digits than its factorization.

5005005005558 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782980.

The product of its (nonzero) digits is 125000, while the sum is 38.

The spelling of 5005005005558 in words is "five trillion, five billion, five million, five thousand, five hundred fifty-eight".