865774068160 has 112 divisors (see below), whose sum is σ = 2097274057920. Its totient is φ = 340352122880.

The previous prime is 865774068149. The next prime is 865774068163. The reversal of 865774068160 is 61860477568.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 865774068095 and 865774068104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (865774068163) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7142136 + ... + 7262344.

Almost surely, 2^865774068160 is an apocalyptic number.

865774068160 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 865774068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048637028960).

865774068160 is an abundant number, since it is smaller than the sum of its proper divisors (1231499989760).

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

865774068160 is a wasteful number, since it uses less digits than its factorization.

865774068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120614 (or 120604 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 58.

The spelling of 865774068160 in words is "eight hundred sixty-five billion, seven hundred seventy-four million, sixty-eight thousand, one hundred sixty".