859361949000 has 384 divisors, whose sum is σ = 3057837868800. Its totient is φ = 217253836800.

The previous prime is 859361948981. The next prime is 859361949007. The reversal of 859361949000 is 949163958.

859361949000 is a `hidden beast` number, since 8 + 5 + 93 + 61 + 9 + 490 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (859361949007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23372631 + ... + 23409369.

It is an arithmetic number, because the mean of its divisors is an integer number (7963119450).

Almost surely, 2^859361949000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 859361949000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528918934400).

859361949000 is an abundant number, since it is smaller than the sum of its proper divisors (2198475919800).

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

859361949000 is a wasteful number, since it uses less digits than its factorization.

859361949000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36902 (or 36885 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 859361949000 in words is "eight hundred fifty-nine billion, three hundred sixty-one million, nine hundred forty-nine thousand".