5163675481728 has 256 divisors, whose sum is σ = 15840315216000. Its totient is φ = 1653989621760.

The previous prime is 5163675481667. The next prime is 5163675481733. The reversal of 5163675481728 is 8271845763615.

It is a happy number.

5163675481728 is a `hidden beast` number, since 5 + 1 + 6 + 3 + 67 + 548 + 1 + 7 + 28 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21025176 + ... + 21269352.

Almost surely, 2^{5163675481728} is an apocalyptic number.

5163675481728 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5163675481728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7920157608000).

5163675481728 is an abundant number, since it is smaller than the sum of its proper divisors (10676639734272).

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

5163675481728 is a wasteful number, since it uses less digits than its factorization.

5163675481728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244440 (or 244422 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 5163675481728 in words is "five trillion, one hundred sixty-three billion, six hundred seventy-five million, four hundred eighty-one thousand, seven hundred twenty-eight".