5286812614272 has 768 divisors, whose sum is σ = 18509109964800. Its totient is φ = 1414908518400.

The previous prime is 5286812614261. The next prime is 5286812614273. The reversal of 5286812614272 is 2724162186825.

5286812614272 is a `hidden beast` number, since 5 + 2 + 8 + 6 + 8 + 12 + 614 + 2 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (5286812614273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6518880747 + ... + 6518881557.

It is an arithmetic number, because the mean of its divisors is an integer number (24100403600).

Almost surely, 2^{5286812614272} 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 5286812614272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9254554982400).

5286812614272 is an abundant number, since it is smaller than the sum of its proper divisors (13222297350528).

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

5286812614272 is a wasteful number, since it uses less digits than its factorization.

5286812614272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1270 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 5286812614272 in words is "five trillion, two hundred eighty-six billion, eight hundred twelve million, six hundred fourteen thousand, two hundred seventy-two".