5000561824608 has 960 divisors, whose sum is σ = 17751741815808. Its totient is φ = 1350993530880.

The previous prime is 5000561824597. The next prime is 5000561824637. The reversal of 5000561824608 is 8064281650005.

5000561824608 is a `hidden beast` number, since 5 + 0 + 0 + 0 + 5 + 6 + 18 + 24 + 608 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8977669066 + ... + 8977669622.

Almost surely, 2^{5000561824608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5000561824608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8875870907904).

5000561824608 is an abundant number, since it is smaller than the sum of its proper divisors (12751179991200).

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

5000561824608 is a wasteful number, since it uses less digits than its factorization.

5000561824608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 5000561824608 in words is "five trillion, five hundred sixty-one million, eight hundred twenty-four thousand, six hundred eight".