65366888866356 has 288 divisors, whose sum is σ = 199718808791040. Its totient is φ = 16267803552000.

The previous prime is 65366888866343. The next prime is 65366888866361.

65366888866356 is nontrivially palindromic in base 10.

65366888866356 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 (84).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 37766601 + ... + 39459471.

It is an arithmetic number, because the mean of its divisors is an integer number (693468086080).

Almost surely, 2^{65366888866356} is an apocalyptic number.

65366888866356 is a gapful number since it is divisible by the number (66) 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 65366888866356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99859404395520).

65366888866356 is an abundant number, since it is smaller than the sum of its proper divisors (134351919924684).

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

65366888866356 is a wasteful number, since it uses less digits than its factorization.

65366888866356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693067 (or 1693054 counting only the distinct ones).

The product of its digits is 42998169600, while the sum is 84.

The spelling of 65366888866356 in words is "sixty-five trillion, three hundred sixty-six billion, eight hundred eighty-eight million, eight hundred sixty-six thousand, three hundred fifty-six".