528747787350720 has 4480 divisors, whose sum is σ = 2396330416668672. Its totient is φ = 108029915136000.

The previous prime is 528747787350709. The next prime is 528747787350763. The reversal of 528747787350720 is 27053787747825.

528747787350720 is a `hidden beast` number, since 5 + 2 + 8 + 7 + 47 + 7 + 8 + 73 + 507 + 2 + 0 = 666.

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

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 639 ways as a sum of consecutive naturals, for example, 459381222145 + ... + 459381223295.

Almost surely, 2^{528747787350720} 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 528747787350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198165208334336).

528747787350720 is an abundant number, since it is smaller than the sum of its proper divisors (1867582629317952).

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

528747787350720 is a wasteful number, since it uses less digits than its factorization.

528747787350720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 1290777600, while the sum is 72.

The spelling of 528747787350720 in words is "five hundred twenty-eight trillion, seven hundred forty-seven billion, seven hundred eighty-seven million, three hundred fifty thousand, seven hundred twenty".