85905319680 has 432 divisors, whose sum is σ = 304150339584. Its totient is φ = 22380503040.

The previous prime is 85905319667. The next prime is 85905319681. The reversal of 85905319680 is 8691350958.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85905319681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103875427 + ... + 103876253.

It is an arithmetic number, because the mean of its divisors is an integer number (704051712).

Almost surely, 2^85905319680 is an apocalyptic number.

85905319680 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 85905319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152075169792).

85905319680 is an abundant number, since it is smaller than the sum of its proper divisors (218245019904).

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

85905319680 is a wasteful number, since it uses less digits than its factorization.

85905319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 85905319680 in words is "eighty-five billion, nine hundred five million, three hundred nineteen thousand, six hundred eighty".