65001502985760 has 2304 divisors, whose sum is σ = 264116256768000. Its totient is φ = 14401916928000.

The previous prime is 65001502985647. The next prime is 65001502985773. The reversal of 65001502985760 is 6758920510056.

65001502985760 is a `hidden beast` number, since 6 + 50 + 0 + 1 + 502 + 9 + 85 + 7 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 65001502985697 and 65001502985706.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 241641274906 + ... + 241641275174.

It is an arithmetic number, because the mean of its divisors is an integer number (114633792000).

Almost surely, 2^{65001502985760} is an apocalyptic number.

65001502985760 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 65001502985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132058128384000).

65001502985760 is an abundant number, since it is smaller than the sum of its proper divisors (199114753782240).

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

65001502985760 is a wasteful number, since it uses less digits than its factorization.

65001502985760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 65001502985760 in words is "sixty-five trillion, one billion, five hundred two million, nine hundred eighty-five thousand, seven hundred sixty".