85813530624 has 260 divisors, whose sum is σ = 257946548860. Its totient is φ = 28426567680.

The previous prime is 85813530623. The next prime is 85813530661. The reversal of 85813530624 is 42603531858.

85813530624 is a `hidden beast` number, since 8 + 5 + 8 + 13 + 5 + 3 + 0 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2869530624 + 82944000000 = 53568^2 + 288000^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85813530624.

It is not an unprimeable number, because it can be changed into a prime (85813530623) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60050742 + ... + 60052170.

It is an arithmetic number, because the mean of its divisors is an integer number (992102111).

Almost surely, 2^85813530624 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 85813530624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128973274430).

85813530624 is an abundant number, since it is smaller than the sum of its proper divisors (172133018236).

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

85813530624 is a wasteful number, since it uses less digits than its factorization.

85813530624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 85813530624 in words is "eighty-five billion, eight hundred thirteen million, five hundred thirty thousand, six hundred twenty-four".