5271238634688 has 2688 divisors, whose sum is σ = 20240865792000. Its totient is φ = 1333261762560.

The previous prime is 5271238634681. The next prime is 5271238634693. The reversal of 5271238634688 is 8864368321725.

5271238634688 is a `hidden beast` number, since 5 + 2 + 71 + 23 + 86 + 3 + 468 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (5271238634681) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 112154013481 + ... + 112154013527.

It is an arithmetic number, because the mean of its divisors is an integer number (7530084000).

Almost surely, 2^{5271238634688} is an apocalyptic number.

5271238634688 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5271238634688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10120432896000).

5271238634688 is an abundant number, since it is smaller than the sum of its proper divisors (14969627157312).

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

5271238634688 is a wasteful number, since it uses less digits than its factorization.

5271238634688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 171 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 5271238634688 in words is "five trillion, two hundred seventy-one billion, two hundred thirty-eight million, six hundred thirty-four thousand, six hundred eighty-eight".