528611920512 has 128 divisors (see below), whose sum is σ = 1514043740160. Its totient is φ = 162444521472.

The previous prime is 528611920489. The next prime is 528611920553. The reversal of 528611920512 is 215029116825.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3912193 + ... + 4045055.

It is an arithmetic number, because the mean of its divisors is an integer number (11828466720).

Almost surely, 2^528611920512 is an apocalyptic number.

528611920512 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528611920512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757021870080).

528611920512 is an abundant number, since it is smaller than the sum of its proper divisors (985431819648).

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

528611920512 is a wasteful number, since it uses less digits than its factorization.

528611920512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133690 (or 133678 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 528611920512 in words is "five hundred twenty-eight billion, six hundred eleven million, nine hundred twenty thousand, five hundred twelve".