517086342240 has 384 divisors, whose sum is σ = 1864944829440. Its totient is φ = 119449853952.

The previous prime is 517086342229. The next prime is 517086342247. The reversal of 517086342240 is 42243680715.

517086342240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×517086342240² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 517086342192 and 517086342201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517086342247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7572571 + ... + 7640549.

It is an arithmetic number, because the mean of its divisors is an integer number (4856627160).

Almost surely, 2^517086342240 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 517086342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932472414720).

517086342240 is an abundant number, since it is smaller than the sum of its proper divisors (1347858487200).

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

517086342240 is a wasteful number, since it uses less digits than its factorization.

517086342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68086 (or 68078 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 517086342240 in words is "five hundred seventeen billion, eighty-six million, three hundred forty-two thousand, two hundred forty".