861794844120 has 1008 divisors, whose sum is σ = 3594234403440. Its totient is φ = 185305688064.

The previous prime is 861794844109. The next prime is 861794844161. The reversal of 861794844120 is 21448497168.

861794844120 is a `hidden beast` number, since 8 + 6 + 179 + 4 + 8 + 441 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 412933717 + ... + 412935803.

Almost surely, 2^861794844120 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 861794844120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797117201720).

861794844120 is an abundant number, since it is smaller than the sum of its proper divisors (2732439559320).

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

861794844120 is a wasteful number, since it uses less digits than its factorization.

861794844120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 861794844120 in words is "eight hundred sixty-one billion, seven hundred ninety-four million, eight hundred forty-four thousand, one hundred twenty".