517640845428 has 384 divisors, whose sum is σ = 1636102307840. Its totient is φ = 138412955520.

The previous prime is 517640845411. The next prime is 517640845429. The reversal of 517640845428 is 824548046715.

517640845428 is a `hidden beast` number, since 5 + 17 + 6 + 4 + 0 + 84 + 542 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517640845429) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 103795551 + ... + 103800537.

Almost surely, 2^517640845428 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 517640845428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818051153920).

517640845428 is an abundant number, since it is smaller than the sum of its proper divisors (1118461462412).

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

517640845428 is a wasteful number, since it uses less digits than its factorization.

517640845428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5184 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 517640845428 in words is "five hundred seventeen billion, six hundred forty million, eight hundred forty-five thousand, four hundred twenty-eight".