517834985472 has 780 divisors, whose sum is σ = 1836485074116. Its totient is φ = 144919756800.

The previous prime is 517834985453. The next prime is 517834985489. The reversal of 517834985472 is 274589438715.

517834985472 is a `hidden beast` number, since 5 + 1 + 7 + 83 + 4 + 9 + 8 + 547 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 405840347136 + 111994638336 = 637056^2 + 334656^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 861621972 + ... + 861622572.

Almost surely, 2^517834985472 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 517834985472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918242537058).

517834985472 is an abundant number, since it is smaller than the sum of its proper divisors (1318650088644).

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

517834985472 is an equidigital number, since it uses as much as digits as its factorization.

517834985472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 666 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 517834985472 in words is "five hundred seventeen billion, eight hundred thirty-four million, nine hundred eighty-five thousand, four hundred seventy-two".