5566672766655 has 1152 divisors, whose sum is σ = 14505437366784. Its totient is φ = 1912940789760.

The previous prime is 5566672766651. The next prime is 5566672766663.

5566672766655 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5566672766655 - 2² = 5566672766651 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5566672766651) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 16518316647 + ... + 16518316983.

It is an arithmetic number, because the mean of its divisors is an integer number (12591525492).

Almost surely, 2^{5566672766655} is an apocalyptic number.

5566672766655 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5566672766655 is an abundant number, since it is smaller than the sum of its proper divisors (8938764600129).

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

5566672766655 is a wasteful number, since it uses less digits than its factorization.

5566672766655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 483 counting only the distinct ones).

The product of its digits is 2857680000, while the sum is 72.

The spelling of 5566672766655 in words is "five trillion, five hundred sixty-six billion, six hundred seventy-two million, seven hundred sixty-six thousand, six hundred fifty-five".