85108329719280 has 960 divisors, whose sum is σ = 339830489456640. Its totient is φ = 18676436115456.

The previous prime is 85108329719279. The next prime is 85108329719297. The reversal of 85108329719280 is 8291792380158.

85108329719280 is a `hidden beast` number, since 8 + 5 + 1 + 0 + 83 + 297 + 192 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51990426622 + ... + 51990428258.

It is an arithmetic number, because the mean of its divisors is an integer number (353990093184).

Almost surely, 2^{85108329719280} is an apocalyptic number.

85108329719280 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 85108329719280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169915244728320).

85108329719280 is an abundant number, since it is smaller than the sum of its proper divisors (254722159737360).

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

85108329719280 is a wasteful number, since it uses less digits than its factorization.

85108329719280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 85108329719280 in words is "eighty-five trillion, one hundred eight billion, three hundred twenty-nine million, seven hundred nineteen thousand, two hundred eighty".