65085285384000 has 2688 divisors, whose sum is σ = 288167334174720. Its totient is φ = 13690736640000.

The previous prime is 65085285383959. The next prime is 65085285384029. The reversal of 65085285384000 is 48358258056.

65085285384000 is a `hidden beast` number, since 6 + 5 + 0 + 85 + 28 + 538 + 4 + 0 + 0 + 0 = 666.

65085285384000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 108294983700 + ... + 108294984300.

It is an arithmetic number, because the mean of its divisors is an integer number (107205109440).

Almost surely, 2^{65085285384000} is an apocalyptic number.

65085285384000 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 65085285384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144083667087360).

65085285384000 is an abundant number, since it is smaller than the sum of its proper divisors (223082048790720).

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

65085285384000 is a wasteful number, since it uses less digits than its factorization.

65085285384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 65085285384000 in words is "sixty-five trillion, eighty-five billion, two hundred eighty-five million, three hundred eighty-four thousand".