518498787396096 has 640 divisors, whose sum is σ = 1682195665920000. Its totient is φ = 156726214115328.

The previous prime is 518498787395929. The next prime is 518498787396173. The reversal of 518498787396096 is 690693787894815.

It is a happy number.

518498787396096 is a `hidden beast` number, since 5 + 1 + 8 + 498 + 7 + 87 + 39 + 6 + 0 + 9 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 518498787395997 and 518498787396015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2825160591 + ... + 2825344113.

It is an arithmetic number, because the mean of its divisors is an integer number (2628430728000).

Almost surely, 2^{518498787396096} 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 518498787396096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841097832960000).

518498787396096 is an abundant number, since it is smaller than the sum of its proper divisors (1163696878523904).

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

518498787396096 is a wasteful number, since it uses less digits than its factorization.

518498787396096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183841 (or 183819 counting only the distinct ones).

The product of its (nonzero) digits is 39504568320, while the sum is 90.

The spelling of 518498787396096 in words is "five hundred eighteen trillion, four hundred ninety-eight billion, seven hundred eighty-seven million, three hundred ninety-six thousand, ninety-six".