517634040000 has 1680 divisors, whose sum is σ = 2227451187456. Its totient is φ = 104832000000.

The previous prime is 517634039999. The next prime is 517634040019. The reversal of 517634040000 is 40436715.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 517634040000.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3428039925 + ... + 3428040075.

Almost surely, 2^517634040000 is an apocalyptic number.

517634040000 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 517634040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113725593728).

517634040000 is an abundant number, since it is smaller than the sum of its proper divisors (1709817147456).

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

517634040000 is a wasteful number, since it uses less digits than its factorization.

517634040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

Adding to 517634040000 its reverse (40436715), we get a palindrome (517674476715).

The spelling of 517634040000 in words is "five hundred seventeen billion, six hundred thirty-four million, forty thousand".