65665456656 has 80 divisors (see below), whose sum is σ = 172849734528. Its totient is φ = 21475584000.

The previous prime is 65665456601. The next prime is 65665456729.

65665456656 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 65665456656.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1146165 + ... + 1202091.

Almost surely, 2^65665456656 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 65665456656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86424867264).

65665456656 is an abundant number, since it is smaller than the sum of its proper divisors (107184277872).

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

65665456656 is a wasteful number, since it uses less digits than its factorization.

65665456656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56400 (or 56394 counting only the distinct ones).

The product of its digits is 116640000, while the sum is 60.

The spelling of 65665456656 in words is "sixty-five billion, six hundred sixty-five million, four hundred fifty-six thousand, six hundred fifty-six".