525428320896 has 192 divisors, whose sum is σ = 1601533252800. Its totient is φ = 164776550400.

The previous prime is 525428320867. The next prime is 525428320909. The reversal of 525428320896 is 698023824525.

525428320896 is a `hidden beast` number, since 5 + 2 + 5 + 428 + 3 + 208 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96957675 + ... + 96963093.

It is an arithmetic number, because the mean of its divisors is an integer number (8341319025).

Almost surely, 2^525428320896 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 525428320896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800766626400).

525428320896 is an abundant number, since it is smaller than the sum of its proper divisors (1076104931904).

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

525428320896 is a wasteful number, since it uses less digits than its factorization.

525428320896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10407 (or 10392 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 525428320896 in words is "five hundred twenty-five billion, four hundred twenty-eight million, three hundred twenty thousand, eight hundred ninety-six".