65585788800 has 384 divisors, whose sum is σ = 247425235200. Its totient is φ = 14958182400.

The previous prime is 65585788781. The next prime is 65585788823. The reversal of 65585788800 is 888758556.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 44284060 + ... + 44285540.

It is an arithmetic number, because the mean of its divisors is an integer number (644336550).

Almost surely, 2^65585788800 is an apocalyptic number.

65585788800 is a gapful number since it is divisible by the number (60) 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 65585788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123712617600).

65585788800 is an abundant number, since it is smaller than the sum of its proper divisors (181839446400).

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

65585788800 is a wasteful number, since it uses less digits than its factorization.

65585788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 60.

The spelling of 65585788800 in words is "sixty-five billion, five hundred eighty-five million, seven hundred eighty-eight thousand, eight hundred".