65771566416512 has 128 divisors (see below), whose sum is σ = 144270153907200. Its totient is φ = 29619416448000.

The previous prime is 65771566416497. The next prime is 65771566416527. The reversal of 65771566416512 is 21561466517756.

It is an interprime number because it is at equal distance from previous prime (65771566416497) and next prime (65771566416527).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×65771566416512² (a number of 28 digits) contains 22 as substring.

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, 67819187 + ... + 68782157.

It is an arithmetic number, because the mean of its divisors is an integer number (1127110577400).

Almost surely, 2^{65771566416512} 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 65771566416512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72135076953600).

65771566416512 is an abundant number, since it is smaller than the sum of its proper divisors (78498587490688).

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

65771566416512 is a wasteful number, since it uses less digits than its factorization.

65771566416512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963446 (or 963434 counting only the distinct ones).

The product of its digits is 63504000, while the sum is 62.

The spelling of 65771566416512 in words is "sixty-five trillion, seven hundred seventy-one billion, five hundred sixty-six million, four hundred sixteen thousand, five hundred twelve".