65535120 has 120 divisors (see below), whose sum is σ = 251549376. Its totient is φ = 14978304.

The previous prime is 65535109. The next prime is 65535121. The reversal of 65535120 is 2153556.

65535120 is a `hidden beast` number, since 6 + 5 + 535 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (65535121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1462 + ... + 11541.

Almost surely, 2^65535120 is an apocalyptic number.

65535120 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 65535120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125774688).

65535120 is an abundant number, since it is smaller than the sum of its proper divisors (186014256).

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

65535120 is a wasteful number, since it uses less digits than its factorization.

65535120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13029 (or 13020 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 65535120 is about 8095.3764582013. The cubic root of 65535120 is about 403.1729313839.

Adding to 65535120 its reverse (2153556), we get a palindrome (67688676).

The spelling of 65535120 in words is "sixty-five million, five hundred thirty-five thousand, one hundred twenty".