27966566566972 has 48 divisors (see below), whose sum is σ = 55113772492800. Its totient is φ = 12301836148800.

The previous prime is 27966566566969. The next prime is 27966566566979.

27966566566972 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×27966566566972² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27966566566979) 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, 177512698 + ... + 177670174.

It is an arithmetic number, because the mean of its divisors is an integer number (1148203593600).

Almost surely, 2^{27966566566972} is an apocalyptic number.

27966566566972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27966566566972 is a deficient number, since it is larger than the sum of its proper divisors (27147205925828).

27966566566972 is a wasteful number, since it uses less digits than its factorization.

27966566566972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287722 (or 287720 counting only the distinct ones).

The product of its digits is 18517766400, while the sum is 82.

It can be divided in two parts, 2796656 and 6566972, that added together give a triangular number (9363628 = T₄₃₂₇).

The spelling of 27966566566972 in words is "twenty-seven trillion, nine hundred sixty-six billion, five hundred sixty-six million, five hundred sixty-six thousand, nine hundred seventy-two".