865784487568 has 160 divisors (see below), whose sum is σ = 2300172779520. Its totient is φ = 304745863680.

The previous prime is 865784487559. The next prime is 865784487593.

865784487568 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 865784487494 and 865784487503.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 177673 + ... + 1327831.

It is an arithmetic number, because the mean of its divisors is an integer number (14376079872).

Almost surely, 2^865784487568 is an apocalyptic number.

865784487568 is a gapful number since it is divisible by the number (88) 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 865784487568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150086389760).

865784487568 is an abundant number, since it is smaller than the sum of its proper divisors (1434388291952).

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

865784487568 is a wasteful number, since it uses less digits than its factorization.

865784487568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150245 (or 1150239 counting only the distinct ones).

The product of its digits is 2890137600, while the sum is 76.

The spelling of 865784487568 in words is "eight hundred sixty-five billion, seven hundred eighty-four million, four hundred eighty-seven thousand, five hundred sixty-eight".