528241253760 has 1152 divisors, whose sum is σ = 2125367112960. Its totient is φ = 124331397120.

The previous prime is 528241253719. The next prime is 528241253767. The reversal of 528241253760 is 67352142825.

528241253760 is a `hidden beast` number, since 5 + 28 + 24 + 12 + 537 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528241253767) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3163121197 + ... + 3163121363.

It is an arithmetic number, because the mean of its divisors is an integer number (1844936730).

Almost surely, 2^528241253760 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 528241253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062683556480).

528241253760 is an abundant number, since it is smaller than the sum of its proper divisors (1597125859200).

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

528241253760 is a wasteful number, since it uses less digits than its factorization.

528241253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 528241253760 in words is "five hundred twenty-eight billion, two hundred forty-one million, two hundred fifty-three thousand, seven hundred sixty".