65005839360 has 1408 divisors, whose sum is σ = 298824007680. Its totient is φ = 13005619200.

The previous prime is 65005839347. The next prime is 65005839361. The reversal of 65005839360 is 6393850056.

65005839360 is a `hidden beast` number, since 6 + 5 + 0 + 0 + 583 + 9 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65005839361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 329978782 + ... + 329978978.

It is an arithmetic number, because the mean of its divisors is an integer number (212232960).

Almost surely, 2^65005839360 is an apocalyptic number.

65005839360 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 65005839360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149412003840).

65005839360 is an abundant number, since it is smaller than the sum of its proper divisors (233818168320).

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

65005839360 is a wasteful number, since it uses less digits than its factorization.

65005839360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 65005839360 in words is "sixty-five billion, five million, eight hundred thirty-nine thousand, three hundred sixty".