517853342340 has 240 divisors, whose sum is σ = 1690406226432. Its totient is φ = 132604902144.

The previous prime is 517853342317. The next prime is 517853342381. The reversal of 517853342340 is 43243358715.

517853342340 is a `hidden beast` number, since 5 + 1 + 7 + 85 + 334 + 234 + 0 = 666.

It is a super-3 number, since 3×517853342340³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3971257 + ... + 4099583.

Almost surely, 2^517853342340 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 517853342340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845203113216).

517853342340 is an abundant number, since it is smaller than the sum of its proper divisors (1172552884092).

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

517853342340 is a wasteful number, since it uses less digits than its factorization.

517853342340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128448 (or 128437 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 517853342340 in words is "five hundred seventeen billion, eight hundred fifty-three million, three hundred forty-two thousand, three hundred forty".