65735081280 has 896 divisors, whose sum is σ = 271247616000. Its totient is φ = 14817116160.

The previous prime is 65735081267. The next prime is 65735081281. The reversal of 65735081280 is 8218053756.

65735081280 is a `hidden beast` number, since 6 + 57 + 3 + 508 + 12 + 80 = 666.

It is a super-2 number, since 2×65735081280² (a number of 22 digits) contains 22 as substring.

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 (65735081281) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 106539532 + ... + 106540148.

Almost surely, 2^65735081280 is an apocalyptic number.

65735081280 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 65735081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135623808000).

65735081280 is an abundant number, since it is smaller than the sum of its proper divisors (205512534720).

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

65735081280 is a wasteful number, since it uses less digits than its factorization.

65735081280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 65735081280 in words is "sixty-five billion, seven hundred thirty-five million, eighty-one thousand, two hundred eighty".