5188580167680 has 3328 divisors, whose sum is σ = 24553813401600. Its totient is φ = 1021636509696.

The previous prime is 5188580167663. The next prime is 5188580167741. The reversal of 5188580167680 is 867610858815.

5188580167680 is a `hidden beast` number, since 518 + 8 + 58 + 0 + 1 + 6 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 77441495007 + ... + 77441495073.

Almost surely, 2^{5188580167680} 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 5188580167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12276906700800).

5188580167680 is an abundant number, since it is smaller than the sum of its proper divisors (19365233233920).

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

5188580167680 is an equidigital number, since it uses as much as digits as its factorization.

5188580167680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 63.

The spelling of 5188580167680 in words is "five trillion, one hundred eighty-eight billion, five hundred eighty million, one hundred sixty-seven thousand, six hundred eighty".