85856867205120 has 1200 divisors, whose sum is σ = 353464129972800. Its totient is φ = 19718005063680.

The previous prime is 85856867205107. The next prime is 85856867205149. The reversal of 85856867205120 is 2150276865858.

It is a happy number.

85856867205120 is a `hidden beast` number, since 8 + 5 + 8 + 56 + 8 + 67 + 2 + 0 + 512 + 0 = 666.

It is a super-2 number, since 2×85856867205120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1386792726 + ... + 1386854634.

It is an arithmetic number, because the mean of its divisors is an integer number (294553441644).

Almost surely, 2^{85856867205120} is an apocalyptic number.

85856867205120 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 85856867205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176732064986400).

85856867205120 is an abundant number, since it is smaller than the sum of its proper divisors (267607262767680).

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

85856867205120 is a wasteful number, since it uses less digits than its factorization.

85856867205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61984 (or 61949 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 85856867205120 in words is "eighty-five trillion, eight hundred fifty-six billion, eight hundred sixty-seven million, two hundred five thousand, one hundred twenty".