65006041728 has 128 divisors (see below), whose sum is σ = 178410240000. Its totient is φ = 20949949440.

The previous prime is 65006041699. The next prime is 65006041729. The reversal of 65006041728 is 82714060056.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×65006041728² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (65006041729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17842275 + ... + 17845917.

It is an arithmetic number, because the mean of its divisors is an integer number (1393830000).

Almost surely, 2^65006041728 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 65006041728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89205120000).

65006041728 is an abundant number, since it is smaller than the sum of its proper divisors (113404198272).

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

65006041728 is a wasteful number, since it uses less digits than its factorization.

65006041728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 65006041728 in words is "sixty-five billion, six million, forty-one thousand, seven hundred twenty-eight".