266209540224 has 128 divisors (see below), whose sum is σ = 722734202880. Its totient is φ = 86796702720.

The previous prime is 266209540183. The next prime is 266209540241. The reversal of 266209540224 is 422045902662.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3424087 + ... + 3500969.

It is an arithmetic number, because the mean of its divisors is an integer number (5646360960).

Almost surely, 2^266209540224 is an apocalyptic number.

266209540224 is a gapful number since it is divisible by the number (24) 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 266209540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361367101440).

266209540224 is an abundant number, since it is smaller than the sum of its proper divisors (456524662656).

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

266209540224 is a wasteful number, since it uses less digits than its factorization.

266209540224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77098 (or 77086 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 266209540224 in words is "two hundred sixty-six billion, two hundred nine million, five hundred forty thousand, two hundred twenty-four".