5005005005556 has 72 divisors (see below), whose sum is σ = 12855854446344. Its totient is φ = 1641591336960.

The previous prime is 5005005005551. The next prime is 5005005005629. The reversal of 5005005005556 is 6555005005005.

5005005005556 is a `hidden beast` number, since 5 + 0 + 0 + 50 + 0 + 50 + 0 + 5 + 556 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 804759703056 + 4200245302500 = 897084^2 + 2049450^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5005005005556.

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 23 ways as a sum of consecutive naturals, for example, 3538305 + ... + 4746536.

It is an arithmetic number, because the mean of its divisors is an integer number (178553533977).

Almost surely, 2^{5005005005556} is an apocalyptic number.

It is an amenable number.

5005005005556 is an abundant number, since it is smaller than the sum of its proper divisors (7850849440788).

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

5005005005556 is a wasteful number, since it uses less digits than its factorization.

5005005005556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8285121 (or 8285116 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 36.

The spelling of 5005005005556 in words is "five trillion, five billion, five million, five thousand, five hundred fifty-six".