66572288227566 has 96 divisors (see below), whose sum is σ = 166272509445120. Its totient is φ = 19052058168000.

The previous prime is 66572288227559. The next prime is 66572288227573.

66572288227566 is a `hidden beast` number, since 6 + 6 + 5 + 72 + 288 + 2 + 275 + 6 + 6 = 666.

66572288227566 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (66572288227559) and next prime (66572288227573).

It is a junction number, because it is equal to n+sod(n) for n = 66572288227494 and 66572288227503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92161885 + ... + 92881416.

It is an arithmetic number, because the mean of its divisors is an integer number (1732005306720).

Almost surely, 2^{66572288227566} is an apocalyptic number.

66572288227566 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66572288227566 is an abundant number, since it is smaller than the sum of its proper divisors (99700221217554).

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

66572288227566 is a wasteful number, since it uses less digits than its factorization.

66572288227566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185043422 (or 185043419 counting only the distinct ones).

The product of its digits is 1625702400, while the sum is 72.

The spelling of 66572288227566 in words is "sixty-six trillion, five hundred seventy-two billion, two hundred eighty-eight million, two hundred twenty-seven thousand, five hundred sixty-six".