85824703971360 has 1920 divisors, whose sum is σ = 326937273062400. Its totient is φ = 21155863855104.

The previous prime is 85824703971301. The next prime is 85824703971499. The reversal of 85824703971360 is 6317930742858.

85824703971360 is a `hidden beast` number, since 8 + 5 + 8 + 2 + 470 + 3 + 97 + 13 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 333948264352 + ... + 333948264608.

It is an arithmetic number, because the mean of its divisors is an integer number (170279829720).

It is a 1-persistent number, because it is pandigital, but 2⋅85824703971360 = 171649407942720 is not.

Almost surely, 2^{85824703971360} is an apocalyptic number.

85824703971360 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 85824703971360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163468636531200).

85824703971360 is an abundant number, since it is smaller than the sum of its proper divisors (241112569091040).

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

85824703971360 is a wasteful number, since it uses less digits than its factorization.

85824703971360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 85824703971360 in words is "eighty-five trillion, eight hundred twenty-four billion, seven hundred three million, nine hundred seventy-one thousand, three hundred sixty".