517720286720 has 640 divisors, whose sum is σ = 1592560569600. Its totient is φ = 156992274432.

The previous prime is 517720286711. The next prime is 517720286723. The reversal of 517720286720 is 27682027715.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517720286723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1330900286 + ... + 1330900674.

It is an arithmetic number, because the mean of its divisors is an integer number (2488375890).

Almost surely, 2^517720286720 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 517720286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796280284800).

517720286720 is an abundant number, since it is smaller than the sum of its proper divisors (1074840282880).

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

517720286720 is a wasteful number, since it uses less digits than its factorization.

517720286720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 47.

It can be divided in two parts, 517720 and 286720, that multiplied together give a square (148440678400 = 385280²).

The spelling of 517720286720 in words is "five hundred seventeen billion, seven hundred twenty million, two hundred eighty-six thousand, seven hundred twenty".