5005005005056 has 72 divisors (see below), whose sum is σ = 11422533798144. Its totient is φ = 2144087961600.

The previous prime is 5005005005053. The next prime is 5005005005093. The reversal of 5005005005056 is 6505005005005.

It is a super-2 number, since 2×5005005005056² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5005005005051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3618996 + ... + 4806988.

It is an arithmetic number, because the mean of its divisors is an integer number (158646302752).

Almost surely, 2^{5005005005056} is an apocalyptic number.

5005005005056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005005005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711266899072).

5005005005056 is an abundant number, since it is smaller than the sum of its proper divisors (6417528793088).

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

5005005005056 is a wasteful number, since it uses less digits than its factorization.

5005005005056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190367 (or 1190353 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 31.

The spelling of 5005005005056 in words is "five trillion, five billion, five million, five thousand, fifty-six".