65666266656 has 192 divisors, whose sum is σ = 192345705216. Its totient is φ = 19509248000.

The previous prime is 65666266579. The next prime is 65666266657.

65666266656 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 65666266656.

It is not an unprimeable number, because it can be changed into a prime (65666266657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3782476 + ... + 3799796.

It is an arithmetic number, because the mean of its divisors is an integer number (1001800548).

Almost surely, 2^65666266656 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 65666266656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96172852608).

65666266656 is an abundant number, since it is smaller than the sum of its proper divisors (126679438560).

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

65666266656 is a wasteful number, since it uses less digits than its factorization.

65666266656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17475 (or 17467 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 60.

The spelling of 65666266656 in words is "sixty-five billion, six hundred sixty-six million, two hundred sixty-six thousand, six hundred fifty-six".