5057824106664 has 576 divisors, whose sum is σ = 17043189696000. Its totient is φ = 1348093393920.

The previous prime is 5057824106663. The next prime is 5057824106681. The reversal of 5057824106664 is 4666014287505.

It is a self number, because there is not a number n which added to its sum of digits gives 5057824106664.

It is not an unprimeable number, because it can be changed into a prime (5057824106663) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3466636767 + ... + 3466638225.

It is an arithmetic number, because the mean of its divisors is an integer number (29588871000).

Almost surely, 2^{5057824106664} 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 5057824106664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8521594848000).

5057824106664 is an abundant number, since it is smaller than the sum of its proper divisors (11985365589336).

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

5057824106664 is a wasteful number, since it uses less digits than its factorization.

5057824106664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 5057824106664 in words is "five trillion, fifty-seven billion, eight hundred twenty-four million, one hundred six thousand, six hundred sixty-four".