65338337886720 has 160 divisors (see below), whose sum is σ = 208905610256640. Its totient is φ = 17421295288320.

The previous prime is 65338337886719. The next prime is 65338337886769. The reversal of 65338337886720 is 2768873383356.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59040880 + ... + 60137360.

It is an arithmetic number, because the mean of its divisors is an integer number (1305660064104).

Almost surely, 2^{65338337886720} is an apocalyptic number.

65338337886720 is a gapful number since it is divisible by the number (60) 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 65338337886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104452805128320).

65338337886720 is an abundant number, since it is smaller than the sum of its proper divisors (143567272369920).

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

65338337886720 is a wasteful number, since it uses less digits than its factorization.

65338337886720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104266 (or 1104250 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 69.

The spelling of 65338337886720 in words is "sixty-five trillion, three hundred thirty-eight billion, three hundred thirty-seven million, eight hundred eighty-six thousand, seven hundred twenty".