5168984647680 has 1728 divisors, whose sum is σ = 22051555344000. Its totient is φ = 1137731567616.

The previous prime is 5168984647661. The next prime is 5168984647691. The reversal of 5168984647680 is 867464898615.

5168984647680 is a `hidden beast` number, since 5 + 1 + 6 + 8 + 98 + 464 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5168984647599 and 5168984647608.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13638481731 + ... + 13638482109.

It is an arithmetic number, because the mean of its divisors is an integer number (12761316750).

Almost surely, 2^{5168984647680} 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 5168984647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11025777672000).

5168984647680 is an abundant number, since it is smaller than the sum of its proper divisors (16882570696320).

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

5168984647680 is an frugal number, since it uses more digits than its factorization.

5168984647680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 5168984647680 in words is "five trillion, one hundred sixty-eight billion, nine hundred eighty-four million, six hundred forty-seven thousand, six hundred eighty".