520152685682688 has 784 divisors, whose sum is σ = 1657361160334296. Its totient is φ = 162595508060160.

The previous prime is 520152685682657. The next prime is 520152685682689. The reversal of 520152685682688 is 886286586251025.

520152685682688 is a `hidden beast` number, since 5 + 2 + 0 + 1 + 52 + 6 + 8 + 568 + 2 + 6 + 8 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 516265289846784 + 3887395835904 = 22721472^2 + 1971648^2 .

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 (520152685682689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28528082020 + ... + 28528100252.

Almost surely, 2^{520152685682688} 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 520152685682688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828680580167148).

520152685682688 is an abundant number, since it is smaller than the sum of its proper divisors (1137208474651608).

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

520152685682688 is an equidigital number, since it uses as much as digits as its factorization.

520152685682688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18575 (or 18536 counting only the distinct ones).

The product of its (nonzero) digits is 884736000, while the sum is 72.

The spelling of 520152685682688 in words is "five hundred twenty trillion, one hundred fifty-two billion, six hundred eighty-five million, six hundred eighty-two thousand, six hundred eighty-eight".