859296422880 has 768 divisors, whose sum is σ = 3624077721600. Its totient is φ = 185765529600.

The previous prime is 859296422833. The next prime is 859296422891. The reversal of 859296422880 is 88224692958.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 603861849 + ... + 603863271.

It is an arithmetic number, because the mean of its divisors is an integer number (4718851200).

Almost surely, 2^859296422880 is an apocalyptic number.

859296422880 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 859296422880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812038860800).

859296422880 is an abundant number, since it is smaller than the sum of its proper divisors (2764781298720).

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

859296422880 is a wasteful number, since it uses less digits than its factorization.

859296422880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 859296422880 in words is "eight hundred fifty-nine billion, two hundred ninety-six million, four hundred twenty-two thousand, eight hundred eighty".