5417338268160 has 3200 divisors, whose sum is σ = 25263403038720. Its totient is φ = 1106127912960.

The previous prime is 5417338268039. The next prime is 5417338268203. The reversal of 5417338268160 is 618628337145.

5417338268160 is a `hidden beast` number, since 5 + 41 + 7 + 3 + 382 + 68 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5417338268097 and 5417338268106.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 174752847345 + ... + 174752847375.

Almost surely, 2^{5417338268160} 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 5417338268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12631701519360).

5417338268160 is an abundant number, since it is smaller than the sum of its proper divisors (19846064770560).

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

5417338268160 is an frugal number, since it uses more digits than its factorization.

5417338268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 5417338268160 in words is "five trillion, four hundred seventeen billion, three hundred thirty-eight million, two hundred sixty-eight thousand, one hundred sixty".