56666011566001 has 8 divisors (see below), whose sum is σ = 56839470728040. Its totient is φ = 56492583829248.

The previous prime is 56666011565953. The next prime is 56666011566071. The reversal of 56666011566001 is 10066511066665.

It can be written as a sum of positive squares in 4 ways, for example, as 6903356875776 + 49762654690225 = 2627424^2 + 7054265^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 56666011566001 - 2³⁵ = 56631651827633 is a prime.

It is a super-3 number, since 3×56666011566001³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56666011566071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4241866 + ... + 11459731.

It is an arithmetic number, because the mean of its divisors is an integer number (7104933841005).

Almost surely, 2^{56666011566001} is an apocalyptic number.

It is an amenable number.

56666011566001 is a deficient number, since it is larger than the sum of its proper divisors (173459162039).

56666011566001 is a wasteful number, since it uses less digits than its factorization.

56666011566001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15712643.

The product of its (nonzero) digits is 1166400, while the sum is 49.

The spelling of 56666011566001 in words is "fifty-six trillion, six hundred sixty-six billion, eleven million, five hundred sixty-six thousand, one".