65082581760 has 576 divisors, whose sum is σ = 251457131520. Its totient is φ = 14053146624.

The previous prime is 65082581719. The next prime is 65082581777. The reversal of 65082581760 is 6718528056.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184369744 + ... + 184370096.

It is an arithmetic number, because the mean of its divisors is an integer number (436557520).

Almost surely, 2^65082581760 is an apocalyptic number.

65082581760 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 65082581760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125728565760).

65082581760 is an abundant number, since it is smaller than the sum of its proper divisors (186374549760).

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

65082581760 is an equidigital number, since it uses as much as digits as its factorization.

65082581760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 65082581760 in words is "sixty-five billion, eighty-two million, five hundred eighty-one thousand, seven hundred sixty".