865577775568 has 80 divisors (see below), whose sum is σ = 1888867533312. Its totient is φ = 380685312000.

The previous prime is 865577775527. The next prime is 865577775577.

It is a happy number.

865577775568 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 865577775494 and 865577775503.

It is a congruent number.

It is an unprimeable number.

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, 42770380 + ... + 42790612.

Almost surely, 2^865577775568 is an apocalyptic number.

865577775568 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 865577775568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944433766656).

865577775568 is an abundant number, since it is smaller than the sum of its proper divisors (1023289757744).

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

865577775568 is a wasteful number, since it uses less digits than its factorization.

865577775568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28124 (or 28118 counting only the distinct ones).

The product of its digits is 3457440000, while the sum is 76.

The spelling of 865577775568 in words is "eight hundred sixty-five billion, five hundred seventy-seven million, seven hundred seventy-five thousand, five hundred sixty-eight".