65783500821760 has 288 divisors, whose sum is σ = 162635945472000. Its totient is φ = 25478938533888.

The previous prime is 65783500821739. The next prime is 65783500821763. The reversal of 65783500821760 is 6712800538756.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 65783500821695 and 65783500821704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65783500821763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5500746661 + ... + 5500758619.

It is an arithmetic number, because the mean of its divisors is an integer number (564708144000).

Almost surely, 2^{65783500821760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65783500821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81317972736000).

65783500821760 is an abundant number, since it is smaller than the sum of its proper divisors (96852444650240).

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

65783500821760 is a wasteful number, since it uses less digits than its factorization.

65783500821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12881 (or 12867 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 58.

The spelling of 65783500821760 in words is "sixty-five trillion, seven hundred eighty-three billion, five hundred million, eight hundred twenty-one thousand, seven hundred sixty".