518883952896 has 243 divisors, whose sum is σ = 1536073133049. Its totient is φ = 168454895616.

The previous prime is 518883952891. The next prime is 518883952897. The reversal of 518883952896 is 698259388815.

The square root of 518883952896 is 720336.

It is a perfect power (a square), and thus also a powerful number.

518883952896 is a `hidden beast` number, since 5 + 1 + 8 + 8 + 8 + 3 + 9 + 528 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 380856842496 + 138027110400 = 617136^2 + 371520^2 .

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

It is not an unprimeable number, because it can be changed into a prime (518883952891) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1486773330 + ... + 1486773678.

Almost surely, 2^518883952896 is an apocalyptic number.

518883952896 is the 720336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 518883952896

518883952896 is an abundant number, since it is smaller than the sum of its proper divisors (1017189180153).

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

518883952896 is an frugal number, since it uses more digits than its factorization.

518883952896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 397 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 72.

The spelling of 518883952896 in words is "five hundred eighteen billion, eight hundred eighty-three million, nine hundred fifty-two thousand, eight hundred ninety-six".