528050352960 has 1008 divisors, whose sum is σ = 2142288360576. Its totient is φ = 123055386624.

The previous prime is 528050352953. The next prime is 528050352989. The reversal of 528050352960 is 69253050825.

528050352960 is a `hidden beast` number, since 5 + 2 + 8 + 0 + 503 + 52 + 96 + 0 = 666.

It is a super-2 number, since 2×528050352960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 364926957 + ... + 364928403.

It is an arithmetic number, because the mean of its divisors is an integer number (2125286072).

Almost surely, 2^528050352960 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 528050352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071144180288).

528050352960 is an abundant number, since it is smaller than the sum of its proper divisors (1614238007616).

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

528050352960 is a wasteful number, since it uses less digits than its factorization.

528050352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 528050352960 in words is "five hundred twenty-eight billion, fifty million, three hundred fifty-two thousand, nine hundred sixty".