85322037528 has 896 divisors, whose sum is σ = 320607504000. Its totient is φ = 21069103104.

The previous prime is 85322037523. The next prime is 85322037551. The reversal of 85322037528 is 82573022358.

85322037528 is a `hidden beast` number, since 8 + 53 + 220 + 375 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85322037523) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 442083000 + ... + 442083192.

It is an arithmetic number, because the mean of its divisors is an integer number (357820875).

Almost surely, 2^85322037528 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 85322037528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160303752000).

85322037528 is an abundant number, since it is smaller than the sum of its proper divisors (235285466472).

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

85322037528 is a wasteful number, since it uses less digits than its factorization.

85322037528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 85322037528 in words is "eighty-five billion, three hundred twenty-two million, thirty-seven thousand, five hundred twenty-eight".