517994496000 has 720 divisors, whose sum is σ = 1889879977440. Its totient is φ = 136485273600.

The previous prime is 517994495999. The next prime is 517994496043. The reversal of 517994496000 is 694499715.

It is a happy number.

517994496000 is a `hidden beast` number, since 51 + 7 + 99 + 449 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2893823911 + ... + 2893824089.

It is an arithmetic number, because the mean of its divisors is an integer number (2624833302).

Almost surely, 2^517994496000 is an apocalyptic number.

517994496000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517994496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944939988720).

517994496000 is an abundant number, since it is smaller than the sum of its proper divisors (1371885481440).

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

517994496000 is a wasteful number, since it uses less digits than its factorization.

517994496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 517994496000 in words is "five hundred seventeen billion, nine hundred ninety-four million, four hundred ninety-six thousand".