85673568960 has 336 divisors, whose sum is σ = 338140438272. Its totient is φ = 19503360000.

The previous prime is 85673568919. The next prime is 85673568973. The reversal of 85673568960 is 6986537658.

85673568960 is a `hidden beast` number, since 8 + 5 + 6 + 7 + 3 + 568 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5051695 + ... + 5068625.

It is an arithmetic number, because the mean of its divisors is an integer number (1006370352).

Almost surely, 2^85673568960 is an apocalyptic number.

85673568960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85673568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169070219136).

85673568960 is an abundant number, since it is smaller than the sum of its proper divisors (252466869312).

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

85673568960 is a wasteful number, since it uses less digits than its factorization.

85673568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17212 (or 17199 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 85673568960 in words is "eighty-five billion, six hundred seventy-three million, five hundred sixty-eight thousand, nine hundred sixty".