85364020608 has 128 divisors (see below), whose sum is σ = 230040518400. Its totient is φ = 28043212800.

The previous prime is 85364020589. The next prime is 85364020619. The reversal of 85364020608 is 80602046358.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 85364020608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13988758 + ... + 13994858.

It is an arithmetic number, because the mean of its divisors is an integer number (1797191550).

Almost surely, 2^85364020608 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 85364020608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115020259200).

85364020608 is an abundant number, since it is smaller than the sum of its proper divisors (144676497792).

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

85364020608 is a wasteful number, since it uses less digits than its factorization.

85364020608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6640 (or 6628 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 85364020608 in words is "eighty-five billion, three hundred sixty-four million, twenty thousand, six hundred eight".