528113698560 has 1728 divisors, whose sum is σ = 2343573872640. Its totient is φ = 107389255680.

The previous prime is 528113698559. The next prime is 528113698589. The reversal of 528113698560 is 65896311825.

528113698560 is a `hidden beast` number, since 5 + 2 + 8 + 1 + 13 + 69 + 8 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 528113698497 and 528113698506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12281713899 + ... + 12281713941.

It is an arithmetic number, because the mean of its divisors is an integer number (1356234880).

Almost surely, 2^528113698560 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 528113698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171786936320).

528113698560 is an abundant number, since it is smaller than the sum of its proper divisors (1815460174080).

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

528113698560 is a wasteful number, since it uses less digits than its factorization.

528113698560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 528113698560 in words is "five hundred twenty-eight billion, one hundred thirteen million, six hundred ninety-eight thousand, five hundred sixty".