85321094928960 has 448 divisors, whose sum is σ = 297859640601600. Its totient is φ = 20520322867200.

The previous prime is 85321094928943. The next prime is 85321094928961. The reversal of 85321094928960 is 6982949012358.

It is a super-3 number, since 3×85321094928960³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 85321094928891 and 85321094928900.

It is not an unprimeable number, because it can be changed into a prime (85321094928961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7164415486 + ... + 7164427394.

It is an arithmetic number, because the mean of its divisors is an integer number (664865269200).

Almost surely, 2^{85321094928960} is an apocalyptic number.

85321094928960 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 85321094928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148929820300800).

85321094928960 is an abundant number, since it is smaller than the sum of its proper divisors (212538545672640).

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

85321094928960 is a wasteful number, since it uses less digits than its factorization.

85321094928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17250 (or 17240 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 66.

The spelling of 85321094928960 in words is "eighty-five trillion, three hundred twenty-one billion, ninety-four million, nine hundred twenty-eight thousand, nine hundred sixty".