266056406316225 has 192 divisors, whose sum is σ = 565223703367680. Its totient is φ = 120185173785600.

The previous prime is 266056406316223. The next prime is 266056406316257. The reversal of 266056406316225 is 522613604650662.

266056406316225 is a `hidden beast` number, since 2 + 6 + 6 + 0 + 5 + 6 + 4 + 0 + 6 + 3 + 1 + 622 + 5 = 666.

It is not a de Polignac number, because 266056406316225 - 2¹ = 266056406316223 is a prime.

It is a super-2 number, since 2×266056406316225² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (266056406316221) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 175976452 + ... + 177481898.

It is an arithmetic number, because the mean of its divisors is an integer number (2943873455040).

Almost surely, 2^{266056406316225} is an apocalyptic number.

266056406316225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

266056406316225 is an abundant number, since it is smaller than the sum of its proper divisors (299167297051455).

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

266056406316225 is a wasteful number, since it uses less digits than its factorization.

266056406316225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505917 (or 1505906 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 266056406316225 in words is "two hundred sixty-six trillion, fifty-six billion, four hundred six million, three hundred sixteen thousand, two hundred twenty-five".