266727472200 has 972 divisors, whose sum is σ = 1094200269435. Its totient is φ = 58056445440.

The previous prime is 266727472199. The next prime is 266727472213. The reversal of 266727472200 is 2274727662.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 211546643364 + 55180828836 = 459942^2 + 234906^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=365190.

It is a super-2 number, since 2×266727472200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 5675052577 + ... + 5675052623.

Almost surely, 2^266727472200 is an apocalyptic number.

266727472200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266727472200

266727472200 is an abundant number, since it is smaller than the sum of its proper divisors (827472797235).

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

266727472200 is a wasteful number, since it uses less digits than its factorization.

266727472200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 266727472200 in words is "two hundred sixty-six billion, seven hundred twenty-seven million, four hundred seventy-two thousand, two hundred".