65495259456 has 168 divisors, whose sum is σ = 190703984352. Its totient is φ = 19823232000.

The previous prime is 65495259451. The next prime is 65495259481.

65495259456 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×65495259456² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 65495259456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65495259451) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 34452106 + ... + 34454006.

It is an arithmetic number, because the mean of its divisors is an integer number (1135142764).

Almost surely, 2^65495259456 is an apocalyptic number.

65495259456 is a gapful number since it is divisible by the number (66) 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 65495259456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95351992176).

65495259456 is an abundant number, since it is smaller than the sum of its proper divisors (125208724896).

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

65495259456 is a wasteful number, since it uses less digits than its factorization.

65495259456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3400 counting only the distinct ones).

The product of its digits is 58320000, while the sum is 60.

The spelling of 65495259456 in words is "sixty-five billion, four hundred ninety-five million, two hundred fifty-nine thousand, four hundred fifty-six".