5005556006004 has 72 divisors (see below), whose sum is σ = 12669033024648. Its totient is φ = 1666396385280.

The previous prime is 5005556005991. The next prime is 5005556006069. The reversal of 5005556006004 is 4006006555005.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1402590176100 + 3602965829904 = 1184310^2 + 1898148^2 .

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 5005556006004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199754244 + ... + 199779300.

It is an arithmetic number, because the mean of its divisors is an integer number (175958792009).

Almost surely, 2^{5005556006004} is an apocalyptic number.

It is an amenable number.

5005556006004 is an abundant number, since it is smaller than the sum of its proper divisors (7663477018644).

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

5005556006004 is a wasteful number, since it uses less digits than its factorization.

5005556006004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31905 (or 31900 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 5005556006004 in words is "five trillion, five billion, five hundred fifty-six million, six thousand, four".