5338426071680 has 512 divisors, whose sum is σ = 15011004395520. Its totient is φ = 1797488640000.

The previous prime is 5338426071659. The next prime is 5338426071689. The reversal of 5338426071680 is 861706248335.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5338426071689) 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 63 ways as a sum of consecutive naturals, for example, 671411705 + ... + 671419655.

It is an arithmetic number, because the mean of its divisors is an integer number (29318367960).

Almost surely, 2^{5338426071680} 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 5338426071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7505502197760).

5338426071680 is an abundant number, since it is smaller than the sum of its proper divisors (9672578323840).

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

5338426071680 is a wasteful number, since it uses less digits than its factorization.

5338426071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8148 (or 8136 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 53.

The spelling of 5338426071680 in words is "five trillion, three hundred thirty-eight billion, four hundred twenty-six million, seventy-one thousand, six hundred eighty".