65258722785256 has 256 divisors, whose sum is σ = 171982011801600. Its totient is φ = 22377046348800.

The previous prime is 65258722785253. The next prime is 65258722785313.

65258722785256 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (65258722785253) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56711590 + ... + 57850858.

It is an arithmetic number, because the mean of its divisors is an integer number (671804733600).

Almost surely, 2^{65258722785256} 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 65258722785256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85991005900800).

65258722785256 is an abundant number, since it is smaller than the sum of its proper divisors (106723289016344).

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

65258722785256 is a wasteful number, since it uses less digits than its factorization.

65258722785256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139640 (or 1139636 counting only the distinct ones).

The product of its digits is 1128960000, while the sum is 70.

The spelling of 65258722785256 in words is "sixty-five trillion, two hundred fifty-eight billion, seven hundred twenty-two million, seven hundred eighty-five thousand, two hundred fifty-six".