85984270427776 has 256 divisors, whose sum is σ = 198632485497600. Its totient is φ = 36314940211200.

The previous prime is 85984270427767. The next prime is 85984270427777. The reversal of 85984270427776 is 67772407248958.

It is not an unprimeable number, because it can be changed into a prime (85984270427777) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24365050780 + ... + 24365054308.

It is an arithmetic number, because the mean of its divisors is an integer number (775908146475).

Almost surely, 2^{85984270427776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85984270427776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99316242748800).

85984270427776 is an abundant number, since it is smaller than the sum of its proper divisors (112648215069824).

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

85984270427776 is a wasteful number, since it uses less digits than its factorization.

85984270427776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4835 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 2655313920, while the sum is 76.

The spelling of 85984270427776 in words is "eighty-five trillion, nine hundred eighty-four billion, two hundred seventy million, four hundred twenty-seven thousand, seven hundred seventy-six".