5086180502784 has 216 divisors, whose sum is σ = 14810913936000. Its totient is φ = 1678564945920.

The previous prime is 5086180502779. The next prime is 5086180502807. The reversal of 5086180502784 is 4872050816805.

5086180502784 is a `hidden beast` number, since 5 + 0 + 8 + 61 + 8 + 0 + 502 + 78 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5086180502784.

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, 106741237 + ... + 106788875.

It is an arithmetic number, because the mean of its divisors is an integer number (68569046000).

Almost surely, 2^{5086180502784} 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 5086180502784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405456968000).

5086180502784 is an abundant number, since it is smaller than the sum of its proper divisors (9724733433216).

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

5086180502784 is a wasteful number, since it uses less digits than its factorization.

5086180502784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48121 (or 48104 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 5086180502784 in words is "five trillion, eighty-six billion, one hundred eighty million, five hundred two thousand, seven hundred eighty-four".