5164620107328 has 672 divisors, whose sum is σ = 18076151808000. Its totient is φ = 1389480099840.

The previous prime is 5164620107281. The next prime is 5164620107393. The reversal of 5164620107328 is 8237010264615.

5164620107328 is a `hidden beast` number, since 5 + 1 + 6 + 4 + 620 + 10 + 7 + 3 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 489114913 + ... + 489125471.

Almost surely, 2^{5164620107328} 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 5164620107328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9038075904000).

5164620107328 is an abundant number, since it is smaller than the sum of its proper divisors (12911531700672).

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

5164620107328 is a wasteful number, since it uses less digits than its factorization.

5164620107328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10863 (or 10850 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 5164620107328 in words is "five trillion, one hundred sixty-four billion, six hundred twenty million, one hundred seven thousand, three hundred twenty-eight".