65538579201704 has 128 divisors (see below), whose sum is σ = 147625390080000. Its totient is φ = 26687882557440.

The previous prime is 65538579201671. The next prime is 65538579201721. The reversal of 65538579201704 is 40710297583556.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23213912 + ... + 25883640.

It is an arithmetic number, because the mean of its divisors is an integer number (1153323360000).

It is a 1-persistent number, because it is pandigital, but 2⋅65538579201704 = 131077158403408 is not.

Almost surely, 2^{65538579201704} 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 65538579201704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73812695040000).

65538579201704 is an abundant number, since it is smaller than the sum of its proper divisors (82086810878296).

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

65538579201704 is a wasteful number, since it uses less digits than its factorization.

65538579201704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670031 (or 2670027 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 62.

The spelling of 65538579201704 in words is "sixty-five trillion, five hundred thirty-eight billion, five hundred seventy-nine million, two hundred one thousand, seven hundred four".