65817965259744 has 96 divisors (see below), whose sum is σ = 175745120221440. Its totient is φ = 21561991713792.

The previous prime is 65817965259691. The next prime is 65817965259779. The reversal of 65817965259744 is 44795256971856.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 65817965259744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20859604 + ... + 23806700.

It is an arithmetic number, because the mean of its divisors is an integer number (1830678335640).

Almost surely, 2^{65817965259744} 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 65817965259744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87872560110720).

65817965259744 is an abundant number, since it is smaller than the sum of its proper divisors (109927154961696).

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

65817965259744 is a wasteful number, since it uses less digits than its factorization.

65817965259744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951112 (or 2951104 counting only the distinct ones).

The product of its digits is 4572288000, while the sum is 78.

The spelling of 65817965259744 in words is "sixty-five trillion, eight hundred seventeen billion, nine hundred sixty-five million, two hundred fifty-nine thousand, seven hundred forty-four".