859877171712 has 640 divisors, whose sum is σ = 2921917152000. Its totient is φ = 250571833344.

The previous prime is 859877171653. The next prime is 859877171771. The reversal of 859877171712 is 217171778958.

859877171712 is a `hidden beast` number, since 8 + 598 + 7 + 7 + 17 + 17 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (859877171653) and next prime (859877171771).

It is a self number, because there is not a number n which added to its sum of digits gives 859877171712.

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 63 ways as a sum of consecutive naturals, for example, 276575214 + ... + 276578322.

It is an arithmetic number, because the mean of its divisors is an integer number (4565495550).

Almost surely, 2^859877171712 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 859877171712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460958576000).

859877171712 is an abundant number, since it is smaller than the sum of its proper divisors (2062039980288).

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

859877171712 is an equidigital number, since it uses as much as digits as its factorization.

859877171712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 3146 counting only the distinct ones).

The product of its digits is 13829760, while the sum is 63.

The spelling of 859877171712 in words is "eight hundred fifty-nine billion, eight hundred seventy-seven million, one hundred seventy-one thousand, seven hundred twelve".