5017725440784 has 315 divisors, whose sum is σ = 16961591975223. Its totient is φ = 1433151994176.

The previous prime is 5017725440747. The next prime is 5017725440807. The reversal of 5017725440784 is 4870445277105.

The square root of 5017725440784 is 2240028.

It is a perfect power (a square), and thus also a powerful number.

5017725440784 is a `hidden beast` number, since 5 + 0 + 17 + 7 + 2 + 544 + 0 + 7 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5017725440784.

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 62 ways as a sum of consecutive naturals, for example, 1693459687 + ... + 1693462649.

Almost surely, 2^{5017725440784} is an apocalyptic number.

5017725440784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5017725440784 is the 2240028-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5017725440784

5017725440784 is an abundant number, since it is smaller than the sum of its proper divisors (11943866534439).

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

5017725440784 is an frugal number, since it uses more digits than its factorization.

5017725440784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5966 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 8780800, while the sum is 54.

The spelling of 5017725440784 in words is "five trillion, seventeen billion, seven hundred twenty-five million, four hundred forty thousand, seven hundred eighty-four".