5338814503680 has 432 divisors, whose sum is σ = 21131021620800. Its totient is φ = 1219117842432.

The previous prime is 5338814503651. The next prime is 5338814503709. The reversal of 5338814503680 is 863054188335.

5338814503680 is a `hidden beast` number, since 5 + 3 + 3 + 8 + 81 + 450 + 36 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5338814503651) and next prime (5338814503709).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84559804 + ... + 84622916.

It is an arithmetic number, because the mean of its divisors is an integer number (48914401900).

Almost surely, 2^{5338814503680} 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 5338814503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10565510810400).

5338814503680 is an abundant number, since it is smaller than the sum of its proper divisors (15792207117120).

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

5338814503680 is a wasteful number, since it uses less digits than its factorization.

5338814503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64196 (or 64179 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 5338814503680 in words is "five trillion, three hundred thirty-eight billion, eight hundred fourteen million, five hundred three thousand, six hundred eighty".