85680520064 has 128 divisors (see below), whose sum is σ = 196384435200. Its totient is φ = 36965376000.

The previous prime is 85680520049. The next prime is 85680520067. The reversal of 85680520064 is 46002508658.

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

It is a junction number, because it is equal to n+sod(n) for n = 85680519997 and 85680520024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85680520067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1248239 + ... + 1315089.

It is an arithmetic number, because the mean of its divisors is an integer number (1534253400).

Almost surely, 2^85680520064 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 85680520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98192217600).

85680520064 is an abundant number, since it is smaller than the sum of its proper divisors (110703915136).

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

85680520064 is a wasteful number, since it uses less digits than its factorization.

85680520064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66932 (or 66920 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 85680520064 in words is "eighty-five billion, six hundred eighty million, five hundred twenty thousand, sixty-four".