859539045120 has 288 divisors, whose sum is σ = 3172577103360. Its totient is φ = 194258042880.

The previous prime is 859539045061. The next prime is 859539045121. The reversal of 859539045120 is 21540935958.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (859539045121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2212675 + ... + 2571965.

It is an arithmetic number, because the mean of its divisors is an integer number (11015892720).

Almost surely, 2^859539045120 is an apocalyptic number.

859539045120 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 859539045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586288551680).

859539045120 is an abundant number, since it is smaller than the sum of its proper divisors (2313038058240).

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

859539045120 is a wasteful number, since it uses less digits than its factorization.

859539045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359411 (or 359397 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 51.

The spelling of 859539045120 in words is "eight hundred fifty-nine billion, five hundred thirty-nine million, forty-five thousand, one hundred twenty".