85282216320 has 1024 divisors, whose sum is σ = 347506329600. Its totient is φ = 17340825600.

The previous prime is 85282216307. The next prime is 85282216321. The reversal of 85282216320 is 2361228258.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85282216321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 404181015 + ... + 404181225.

It is an arithmetic number, because the mean of its divisors is an integer number (339361650).

Almost surely, 2^85282216320 is an apocalyptic number.

85282216320 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 85282216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173753164800).

85282216320 is an abundant number, since it is smaller than the sum of its proper divisors (262224113280).

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

85282216320 is a wasteful number, since it uses less digits than its factorization.

85282216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 85282216320 in words is "eighty-five billion, two hundred eighty-two million, two hundred sixteen thousand, three hundred twenty".