320216505777 has 96 divisors (see below), whose sum is σ = 541371168000. Its totient is φ = 178613600256.

The previous prime is 320216505767. The next prime is 320216505781. The reversal of 320216505777 is 777505612023.

320216505777 is a `hidden beast` number, since 3 + 2 + 0 + 21 + 6 + 50 + 577 + 7 = 666.

It is not a de Polignac number, because 320216505777 - 2¹⁰ = 320216504753 is a prime.

It is a super-2 number, since 2×320216505777² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (320216505767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 522375723 + ... + 522376335.

It is an arithmetic number, because the mean of its divisors is an integer number (5639283000).

Almost surely, 2^320216505777 is an apocalyptic number.

It is an amenable number.

320216505777 is a deficient number, since it is larger than the sum of its proper divisors (221154662223).

320216505777 is a wasteful number, since it uses less digits than its factorization.

320216505777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 320216505777 in words is "three hundred twenty billion, two hundred sixteen million, five hundred five thousand, seven hundred seventy-seven".