65856955965856 has 96 divisors (see below), whose sum is σ = 146339525162880. Its totient is φ = 28898905728000.

The previous prime is 65856955965821. The next prime is 65856955965953.

65856955965856 is nontrivially palindromic in base 10.

65856955965856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (88).

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 15 ways as a sum of consecutive naturals, for example, 77228206 + ... + 78076306.

It is an arithmetic number, because the mean of its divisors is an integer number (1524370053780).

Almost surely, 2^{65856955965856} 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 65856955965856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73169762581440).

65856955965856 is an abundant number, since it is smaller than the sum of its proper divisors (80482569197024).

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

65856955965856 is a wasteful number, since it uses less digits than its factorization.

65856955965856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855758 (or 855750 counting only the distinct ones).

The product of its digits is 104976000000, while the sum is 88.

The spelling of 65856955965856 in words is "sixty-five trillion, eight hundred fifty-six billion, nine hundred fifty-five million, nine hundred sixty-five thousand, eight hundred fifty-six".