5180513405568 has 128 divisors (see below), whose sum is σ = 13995771304320. Its totient is φ = 1697588330496.

The previous prime is 5180513405539. The next prime is 5180513405579. The reversal of 5180513405568 is 8655043150815.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 5180513405568.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4940596 + ... + 5896652.

It is an arithmetic number, because the mean of its divisors is an integer number (109341963315).

Almost surely, 2^{5180513405568} 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 5180513405568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6997885652160).

5180513405568 is an abundant number, since it is smaller than the sum of its proper divisors (8815257898752).

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

5180513405568 is a wasteful number, since it uses less digits than its factorization.

5180513405568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956314 (or 956302 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 51.

The spelling of 5180513405568 in words is "five trillion, one hundred eighty billion, five hundred thirteen million, four hundred five thousand, five hundred sixty-eight".