865359953568 has 72 divisors (see below), whose sum is σ = 2684582593056. Its totient is φ = 262230288000.

The previous prime is 865359953519. The next prime is 865359953573.

865359953568 is a `hidden beast` number, since 8 + 6 + 5 + 3 + 5 + 9 + 9 + 53 + 568 = 666.

865359953568 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×865359953568² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 865359953496 and 865359953505.

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 11 ways as a sum of consecutive naturals, for example, 136575108 + ... + 136581443.

It is an arithmetic number, because the mean of its divisors is an integer number (37285869348).

Almost surely, 2^865359953568 is an apocalyptic number.

865359953568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

865359953568 is an abundant number, since it is smaller than the sum of its proper divisors (1819222639488).

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

865359953568 is a wasteful number, since it uses less digits than its factorization.

865359953568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273156578 (or 273156567 counting only the distinct ones).

The product of its digits is 1049760000, while the sum is 72.

The spelling of 865359953568 in words is "eight hundred sixty-five billion, three hundred fifty-nine million, nine hundred fifty-three thousand, five hundred sixty-eight".