65919583265536 has 2304 divisors, whose sum is σ = 200431042560000. Its totient is φ = 21244678963200.

The previous prime is 65919583265531. The next prime is 65919583265537. The reversal of 65919583265536 is 63556238591956.

It is not an unprimeable number, because it can be changed into a prime (65919583265531) 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 255 ways as a sum of consecutive naturals, for example, 331254187165 + ... + 331254187363.

It is an arithmetic number, because the mean of its divisors is an integer number (86992640000).

Almost surely, 2^{65919583265536} 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 65919583265536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100215521280000).

65919583265536 is an abundant number, since it is smaller than the sum of its proper divisors (134511459294464).

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

65919583265536 is a wasteful number, since it uses less digits than its factorization.

65919583265536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 323 counting only the distinct ones).

The product of its digits is 1574640000, while the sum is 73.

The spelling of 65919583265536 in words is "sixty-five trillion, nine hundred nineteen billion, five hundred eighty-three million, two hundred sixty-five thousand, five hundred thirty-six".