528725784960 has 512 divisors, whose sum is σ = 1932182899200. Its totient is φ = 136541085696.

The previous prime is 528725784931. The next prime is 528725785001. The reversal of 528725784960 is 69487527825.

528725784960 is a `hidden beast` number, since 5 + 2 + 8 + 72 + 5 + 78 + 496 + 0 = 666.

It is a congruent number.

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, 145132899 + ... + 145136541.

It is an arithmetic number, because the mean of its divisors is an integer number (3773794725).

Almost surely, 2^528725784960 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 528725784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966091449600).

528725784960 is an abundant number, since it is smaller than the sum of its proper divisors (1403457114240).

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

528725784960 is a wasteful number, since it uses less digits than its factorization.

528725784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 528725784960 in words is "five hundred twenty-eight billion, seven hundred twenty-five million, seven hundred eighty-four thousand, nine hundred sixty".