65310448000 has 512 divisors, whose sum is σ = 199803801600. Its totient is φ = 20730470400.

The previous prime is 65310447947. The next prime is 65310448001. The reversal of 65310448000 is 84401356.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65310448001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100015674 + ... + 100016326.

It is an arithmetic number, because the mean of its divisors is an integer number (390241800).

Almost surely, 2^65310448000 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 65310448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99901900800).

65310448000 is an abundant number, since it is smaller than the sum of its proper divisors (134493353600).

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

65310448000 is a wasteful number, since it uses less digits than its factorization.

65310448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 65310448000 its reverse (84401356), we get a palindrome (65394849356).

The spelling of 65310448000 in words is "sixty-five billion, three hundred ten million, four hundred forty-eight thousand".