517914000000 has 1120 divisors, whose sum is σ = 2024833456800. Its totient is φ = 131155200000.

The previous prime is 517913999969. The next prime is 517914000007. The reversal of 517914000000 is 419715.

517914000000 is a `hidden beast` number, since 517 + 9 + 140 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×517914000000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (517914000007) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 3725999931 + ... + 3726000069.

It is an arithmetic number, because the mean of its divisors is an integer number (1807887015).

Almost surely, 2^517914000000 is an apocalyptic number.

517914000000 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 517914000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012416728400).

517914000000 is an abundant number, since it is smaller than the sum of its proper divisors (1506919456800).

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

517914000000 is an frugal number, since it uses more digits than its factorization.

517914000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 517914000000 its reverse (419715), we get a palindrome (517914419715).

The spelling of 517914000000 in words is "five hundred seventeen billion, nine hundred fourteen million", and thus it is an aban number.