266056406316261 has 72 divisors (see below), whose sum is σ = 447359334851520. Its totient is φ = 151729047740160.

The previous prime is 266056406316257. The next prime is 266056406316277. The reversal of 266056406316261 is 162613604650662.

266056406316261 is a `hidden beast` number, since 2 + 6 + 6 + 0 + 5 + 6 + 4 + 0 + 6 + 3 + 1 + 626 + 1 = 666.

It is not a de Polignac number, because 266056406316261 - 2² = 266056406316257 is a prime.

It is a super-2 number, since 2×266056406316261² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 266056406316198 and 266056406316207.

It is a congruent 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 71 ways as a sum of consecutive naturals, for example, 85915480 + ... + 88958318.

It is an arithmetic number, because the mean of its divisors is an integer number (6213324095160).

Almost surely, 2^{266056406316261} is an apocalyptic number.

It is an amenable number.

266056406316261 is a deficient number, since it is larger than the sum of its proper divisors (181302928535259).

266056406316261 is a wasteful number, since it uses less digits than its factorization.

266056406316261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047607 (or 3047593 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 266056406316261 in words is "two hundred sixty-six trillion, fifty-six billion, four hundred six million, three hundred sixteen thousand, two hundred sixty-one".