517549896864 has 864 divisors, whose sum is σ = 2085998189184. Its totient is φ = 117533306880.

The previous prime is 517549896827. The next prime is 517549896971. The reversal of 517549896864 is 468698945715.

517549896864 is a `hidden beast` number, since 5 + 1 + 75 + 498 + 9 + 6 + 8 + 64 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 517549896792 and 517549896801.

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 143 ways as a sum of consecutive naturals, for example, 104069482 + ... + 104074454.

It is an arithmetic number, because the mean of its divisors is an integer number (2414349756).

Almost surely, 2^517549896864 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 517549896864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042999094592).

517549896864 is an abundant number, since it is smaller than the sum of its proper divisors (1568448292320).

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

517549896864 is a wasteful number, since it uses less digits than its factorization.

517549896864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058 (or 5028 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 72.

The spelling of 517549896864 in words is "five hundred seventeen billion, five hundred forty-nine million, eight hundred ninety-six thousand, eight hundred sixty-four".