5286438160080 has 320 divisors, whose sum is σ = 20434157273088. Its totient is φ = 1098350714880.

The previous prime is 5286438160043. The next prime is 5286438160123. The reversal of 5286438160080 is 800618346825.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 303931864 + ... + 303949256.

Almost surely, 2^{5286438160080} 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 5286438160080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10217078636544).

5286438160080 is an abundant number, since it is smaller than the sum of its proper divisors (15147719113008).

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

5286438160080 is a wasteful number, since it uses less digits than its factorization.

5286438160080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33874 (or 33868 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 5286438160080 in words is "five trillion, two hundred eighty-six billion, four hundred thirty-eight million, one hundred sixty thousand, eighty".