266162615746560 has 2304 divisors, whose sum is σ = 1116784544601600. Its totient is φ = 59511335288832.

The previous prime is 266162615746513. The next prime is 266162615746567. The reversal of 266162615746560 is 65647516261662.

266162615746560 is a `hidden beast` number, since 2 + 6 + 6 + 1 + 6 + 2 + 6 + 1 + 574 + 6 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is not an unprimeable number, because it can be changed into a prime (266162615746567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113405459307 + ... + 113405461653.

It is an arithmetic number, because the mean of its divisors is an integer number (484715514150).

Almost surely, 2^{266162615746560} is an apocalyptic number.

266162615746560 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 266162615746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558392272300800).

266162615746560 is an abundant number, since it is smaller than the sum of its proper divisors (850621928855040).

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

266162615746560 is a wasteful number, since it uses less digits than its factorization.

266162615746560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 266162615746560 in words is "two hundred sixty-six trillion, one hundred sixty-two billion, six hundred fifteen million, seven hundred forty-six thousand, five hundred sixty".