266249410560 has 720 divisors, whose sum is σ = 1110297268080. Its totient is φ = 60847718400.

The previous prime is 266249410543. The next prime is 266249410571. The reversal of 266249410560 is 65014942662.

266249410560 is a `hidden beast` number, since 2 + 6 + 6 + 2 + 49 + 41 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40639285 + ... + 40645835.

It is an arithmetic number, because the mean of its divisors is an integer number (1542079539).

Almost surely, 2^266249410560 is an apocalyptic number.

266249410560 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 266249410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555148634040).

266249410560 is an abundant number, since it is smaller than the sum of its proper divisors (844047857520).

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

266249410560 is an equidigital number, since it uses as much as digits as its factorization.

266249410560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6604 (or 6568 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

It can be divided in two parts, 26624 and 9410560, that added together give a square (9437184 = 3072²).

The spelling of 266249410560 in words is "two hundred sixty-six billion, two hundred forty-nine million, four hundred ten thousand, five hundred sixty".