266765304960 has 1536 divisors, whose sum is σ = 1234614528000. Its totient is φ = 52881776640.

The previous prime is 266765304947. The next prime is 266765304961. The reversal of 266765304960 is 69403567662.

266765304960 is a `hidden beast` number, since 2 + 6 + 6 + 7 + 6 + 530 + 49 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 266765304897 and 266765304906.

It is not an unprimeable number, because it can be changed into a prime (266765304961) 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, 703866051 + ... + 703866429.

It is an arithmetic number, because the mean of its divisors is an integer number (803785500).

Almost surely, 2^266765304960 is an apocalyptic number.

266765304960 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 266765304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617307264000).

266765304960 is an abundant number, since it is smaller than the sum of its proper divisors (967849223040).

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

266765304960 is a wasteful number, since it uses less digits than its factorization.

266765304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 266765304960 in words is "two hundred sixty-six billion, seven hundred sixty-five million, three hundred four thousand, nine hundred sixty".