520227302688 has 288 divisors, whose sum is σ = 1579033310400. Its totient is φ = 161995603968.

The previous prime is 520227302603. The next prime is 520227302701. The reversal of 520227302688 is 886203722025.

It is a happy number.

520227302688 is a `hidden beast` number, since 520 + 2 + 27 + 3 + 0 + 26 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210873231 + ... + 210875697.

It is an arithmetic number, because the mean of its divisors is an integer number (5482754550).

Almost surely, 2^520227302688 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 520227302688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789516655200).

520227302688 is an abundant number, since it is smaller than the sum of its proper divisors (1058806007712).

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

520227302688 is a wasteful number, since it uses less digits than its factorization.

520227302688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 520227302688 in words is "five hundred twenty billion, two hundred twenty-seven million, three hundred two thousand, six hundred eighty-eight".