517164400000 has 192 divisors, whose sum is σ = 1294512302160. Its totient is φ = 205784320000.

The previous prime is 517164399977. The next prime is 517164400001. The reversal of 517164400000 is 4461715.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517164400001) 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 23 ways as a sum of consecutive naturals, for example, 78796719 + ... + 78803281.

Almost surely, 2^517164400000 is an apocalyptic number.

517164400000 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 517164400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647256151080).

517164400000 is an abundant number, since it is smaller than the sum of its proper divisors (777347902160).

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

517164400000 is an frugal number, since it uses more digits than its factorization.

517164400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6799 (or 6767 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

Adding to 517164400000 its reverse (4461715), we get a palindrome (517168861715).

The spelling of 517164400000 in words is "five hundred seventeen billion, one hundred sixty-four million, four hundred thousand".