65065785344 has 192 divisors, whose sum is σ = 152824089600. Its totient is φ = 27120697344.

The previous prime is 65065785307. The next prime is 65065785349. The reversal of 65065785344 is 44358756056.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65065785349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82675319 + ... + 82676105.

It is an arithmetic number, because the mean of its divisors is an integer number (795958800).

Almost surely, 2^65065785344 is an apocalyptic number.

65065785344 is a gapful number since it is divisible by the number (64) 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 65065785344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76412044800).

65065785344 is an abundant number, since it is smaller than the sum of its proper divisors (87758304256).

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

65065785344 is an equidigital number, since it uses as much as digits as its factorization.

65065785344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 53.

The spelling of 65065785344 in words is "sixty-five billion, sixty-five million, seven hundred eighty-five thousand, three hundred forty-four".