866785587668 has 96 divisors (see below), whose sum is σ = 2048417199360. Its totient is φ = 309928919040.

The previous prime is 866785587659. The next prime is 866785587737.

866785587668 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×866785587668² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 866785587592 and 866785587601.

It is a congruent number.

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, 67028 + ... + 1318356.

It is an arithmetic number, because the mean of its divisors is an integer number (21337679160).

Almost surely, 2^866785587668 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 866785587668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024208599680).

866785587668 is an abundant number, since it is smaller than the sum of its proper divisors (1181631611692).

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

866785587668 is a wasteful number, since it uses less digits than its factorization.

866785587668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251537 (or 1251535 counting only the distinct ones).

The product of its digits is 6502809600, while the sum is 80.

The spelling of 866785587668 in words is "eight hundred sixty-six billion, seven hundred eighty-five million, five hundred eighty-seven thousand, six hundred sixty-eight".