65666666666656 has 96 divisors (see below), whose sum is σ = 141316828692480. Its totient is φ = 29788681440000.

The previous prime is 65666666666651. The next prime is 65666666666659.

65666666666656 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×65666666666656² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 65666666666656.

It is not an unprimeable number, because it can be changed into a prime (65666666666651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615085281 + ... + 615192031.

It is an arithmetic number, because the mean of its divisors is an integer number (1472050298880).

Almost surely, 2^{65666666666656} 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 65666666666656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70658414346240).

65666666666656 is an abundant number, since it is smaller than the sum of its proper divisors (75650162025824).

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

65666666666656 is a wasteful number, since it uses less digits than its factorization.

65666666666656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110258 (or 110250 counting only the distinct ones).

The product of its digits is 54419558400, while the sum is 82.

The spelling of 65666666666656 in words is "sixty-five trillion, six hundred sixty-six billion, six hundred sixty-six million, six hundred sixty-six thousand, six hundred fifty-six".