266814804400272 has 30 divisors (see below), whose sum is σ = 746710876203942. Its totient is φ = 88938268133376.

The previous prime is 266814804400247. The next prime is 266814804400289. The reversal of 266814804400272 is 272004408418662.

It is a happy number.

266814804400272 is a `hidden beast` number, since 2 + 66 + 81 + 4 + 80 + 4 + 400 + 27 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 198873624289536 + 67941180110736 = 14102256^2 + 8242644^2 .

It is a super-2 number, since 2×266814804400272² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 926440292913 + ... + 926440293200.

Almost surely, 2^{266814804400272} is an apocalyptic number.

It is an amenable number.

266814804400272 is an abundant number, since it is smaller than the sum of its proper divisors (479896071803670).

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

266814804400272 is a wasteful number, since it uses less digits than its factorization.

266814804400272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852880586127 (or 1852880586118 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 266814804400272 in words is "two hundred sixty-six trillion, eight hundred fourteen billion, eight hundred four million, four hundred thousand, two hundred seventy-two".