65288688256 has 96 divisors (see below), whose sum is σ = 144385515540. Its totient is φ = 29382144000.

The previous prime is 65288688251. The next prime is 65288688323.

65288688256 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 42511841856 + 22776846400 = 206184^2 + 150920^2 .

It is a super-2 number, since 2×65288688256² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (65288688251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1543420 + ... + 1585156.

Almost surely, 2^65288688256 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 65288688256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72192757770).

65288688256 is an abundant number, since it is smaller than the sum of its proper divisors (79096827284).

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

65288688256 is a wasteful number, since it uses less digits than its factorization.

65288688256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41874 (or 41851 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 64.

The spelling of 65288688256 in words is "sixty-five billion, two hundred eighty-eight million, six hundred eighty-eight thousand, two hundred fifty-six".