528925959072 has 360 divisors, whose sum is σ = 1867910647680. Its totient is φ = 146245720320.

The previous prime is 528925959061. The next prime is 528925959077. The reversal of 528925959072 is 270959529825.

528925959072 is a `hidden beast` number, since 528 + 9 + 2 + 59 + 59 + 0 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (528925959077) 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 59 ways as a sum of consecutive naturals, for example, 3870079 + ... + 4004417.

It is an arithmetic number, because the mean of its divisors is an integer number (5188640688).

Almost surely, 2^528925959072 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 528925959072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933955323840).

528925959072 is an abundant number, since it is smaller than the sum of its proper divisors (1338984688608).

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

528925959072 is a wasteful number, since it uses less digits than its factorization.

528925959072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134406 (or 134382 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 63.

The spelling of 528925959072 in words is "five hundred twenty-eight billion, nine hundred twenty-five million, nine hundred fifty-nine thousand, seventy-two".