528056789524992 has 640 divisors, whose sum is σ = 1952510331340800. Its totient is φ = 137189080055808.

The previous prime is 528056789524981. The next prime is 528056789524993. The reversal of 528056789524992 is 299425987650825.

528056789524992 is a `hidden beast` number, since 5 + 2 + 8 + 0 + 5 + 6 + 7 + 89 + 524 + 9 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (528056789524993) 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 63 ways as a sum of consecutive naturals, for example, 81152359 + ... + 87417497.

It is an arithmetic number, because the mean of its divisors is an integer number (3050797392720).

Almost surely, 2^{528056789524992} is an apocalyptic number.

528056789524992 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 528056789524992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976255165670400).

528056789524992 is an abundant number, since it is smaller than the sum of its proper divisors (1424453541815808).

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

528056789524992 is a wasteful number, since it uses less digits than its factorization.

528056789524992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6265253 (or 6265231 counting only the distinct ones).

The product of its (nonzero) digits is 7838208000, while the sum is 81.

The spelling of 528056789524992 in words is "five hundred twenty-eight trillion, fifty-six billion, seven hundred eighty-nine million, five hundred twenty-four thousand, nine hundred ninety-two".