85617647604 has 108 divisors (see below), whose sum is σ = 237830474700. Its totient is φ = 25934125056.

The previous prime is 85617647603. The next prime is 85617647611. The reversal of 85617647604 is 40674671658.

85617647604 is a `hidden beast` number, since 8 + 561 + 7 + 6 + 4 + 76 + 0 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 254338704 + 85363308900 = 15948^2 + 292170^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85617647603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 159832 + ... + 443600.

It is an arithmetic number, because the mean of its divisors is an integer number (2202134025).

Almost surely, 2^85617647604 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 85617647604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118915237350).

85617647604 is an abundant number, since it is smaller than the sum of its proper divisors (152212827096).

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

85617647604 is a wasteful number, since it uses less digits than its factorization.

85617647604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283842 (or 283820 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 85617647604 in words is "eighty-five billion, six hundred seventeen million, six hundred forty-seven thousand, six hundred four".