528254161920 has 308 divisors, whose sum is σ = 1899930705780. Its totient is φ = 140866781184.

The previous prime is 528254161879. The next prime is 528254161931. The reversal of 528254161920 is 29161452825.

528254161920 is a `hidden beast` number, since 5 + 2 + 8 + 2 + 5 + 4 + 1 + 619 + 20 = 666.

528254161920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 103859241984 + 424394919936 = 322272^2 + 651456^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3661716 + ... + 3803244.

Almost surely, 2^528254161920 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 528254161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949965352890).

528254161920 is an abundant number, since it is smaller than the sum of its proper divisors (1371676543860).

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

528254161920 is an equidigital number, since it uses as much as digits as its factorization.

528254161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141572 (or 141539 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 528254161920 in words is "five hundred twenty-eight billion, two hundred fifty-four million, one hundred sixty-one thousand, nine hundred twenty".