528297066823680 has 4896 divisors, whose sum is σ = 2448969520398336. Its totient is φ = 104044953600000.

The previous prime is 528297066823651. The next prime is 528297066823681. The reversal of 528297066823680 is 86328660792825.

528297066823680 is a `hidden beast` number, since 5 + 28 + 297 + 0 + 6 + 6 + 8 + 236 + 80 = 666.

It is a super-2 number, since 2×528297066823680² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 528297066823599 and 528297066823608.

It is not an unprimeable number, because it can be changed into a prime (528297066823681) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3498656071605 + ... + 3498656071755.

Almost surely, 2^{528297066823680} 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 528297066823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224484760199168).

528297066823680 is an abundant number, since it is smaller than the sum of its proper divisors (1920672453574656).

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

528297066823680 is a wasteful number, since it uses less digits than its factorization.

528297066823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 528297066823680 in words is "five hundred twenty-eight trillion, two hundred ninety-seven billion, sixty-six million, eight hundred twenty-three thousand, six hundred eighty".