84525328133568 has 672 divisors, whose sum is σ = 294157737409536. Its totient is φ = 22653453828096.

The previous prime is 84525328133497. The next prime is 84525328133621. The reversal of 84525328133568 is 86533182352548.

84525328133568 is a `hidden beast` number, since 8 + 4 + 5 + 2 + 5 + 32 + 8 + 1 + 33 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37684050655 + ... + 37684052897.

It is an arithmetic number, because the mean of its divisors is an integer number (437734728288).

Almost surely, 2^{84525328133568} 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 84525328133568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147078868704768).

84525328133568 is an abundant number, since it is smaller than the sum of its proper divisors (209632409275968).

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

84525328133568 is a wasteful number, since it uses less digits than its factorization.

84525328133568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3881 (or 3868 counting only the distinct ones).

The product of its digits is 165888000, while the sum is 63.

The spelling of 84525328133568 in words is "eighty-four trillion, five hundred twenty-five billion, three hundred twenty-eight million, one hundred thirty-three thousand, five hundred sixty-eight".