5005100010560 has 224 divisors, whose sum is σ = 13596635687040. Its totient is φ = 1738505945088.

The previous prime is 5005100010473. The next prime is 5005100010587. The reversal of 5005100010560 is 650100015005.

It is a super-2 number, since 2×5005100010560² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160306631 + ... + 160337849.

It is an arithmetic number, because the mean of its divisors is an integer number (60699266460).

Almost surely, 2^{5005100010560} 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 5005100010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6798317843520).

5005100010560 is an abundant number, since it is smaller than the sum of its proper divisors (8591535676480).

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

5005100010560 is a wasteful number, since it uses less digits than its factorization.

5005100010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33533 (or 33523 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

Adding to 5005100010560 its reverse (650100015005), we get a palindrome (5655200025565).

The spelling of 5005100010560 in words is "five trillion, five billion, one hundred million, ten thousand, five hundred sixty".