528243760800 has 1728 divisors, whose sum is σ = 2439586356480. Its totient is φ = 104628879360.

The previous prime is 528243760787. The next prime is 528243760831. The reversal of 528243760800 is 8067342825.

528243760800 is a `hidden beast` number, since 5 + 2 + 8 + 2 + 4 + 37 + 608 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 602329962 + ... + 602330838.

It is an arithmetic number, because the mean of its divisors is an integer number (1411797660).

Almost surely, 2^528243760800 is an apocalyptic number.

528243760800 is a gapful number since it is divisible by the number (50) 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 528243760800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219793178240).

528243760800 is an abundant number, since it is smaller than the sum of its proper divisors (1911342595680).

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

528243760800 is a wasteful number, since it uses less digits than its factorization.

528243760800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 528243760800 in words is "five hundred twenty-eight billion, two hundred forty-three million, seven hundred sixty thousand, eight hundred".