859066670880 has 288 divisors, whose sum is σ = 3209003179200. Its totient is φ = 207546685440.

The previous prime is 859066670873. The next prime is 859066670887. The reversal of 859066670880 is 88076660958.

It is an interprime number because it is at equal distance from previous prime (859066670873) and next prime (859066670887).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (859066670887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4548571 + ... + 4733669.

It is an arithmetic number, because the mean of its divisors is an integer number (11142372150).

Almost surely, 2^859066670880 is an apocalyptic number.

859066670880 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 859066670880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604501589600).

859066670880 is an abundant number, since it is smaller than the sum of its proper divisors (2349936508320).

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

859066670880 is a wasteful number, since it uses less digits than its factorization.

859066670880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185424 (or 185413 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 859066670880 in words is "eight hundred fifty-nine billion, sixty-six million, six hundred seventy thousand, eight hundred eighty".