518928778368 has 1152 divisors, whose sum is σ = 2117227170240. Its totient is φ = 124366233600.

The previous prime is 518928778321. The next prime is 518928778399. The reversal of 518928778368 is 863877829815.

518928778368 is a `hidden beast` number, since 5 + 189 + 2 + 87 + 7 + 8 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 518928778296 and 518928778305.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 217944538 + ... + 217946918.

Almost surely, 2^518928778368 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 518928778368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058613585120).

518928778368 is an abundant number, since it is smaller than the sum of its proper divisors (1598298391872).

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

518928778368 is a wasteful number, since it uses less digits than its factorization.

518928778368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2417 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 72.

The spelling of 518928778368 in words is "five hundred eighteen billion, nine hundred twenty-eight million, seven hundred seventy-eight thousand, three hundred sixty-eight".