266407941848832 has 1152 divisors, whose sum is σ = 950569414502400. Its totient is φ = 71984541597696.

The previous prime is 266407941848753. The next prime is 266407941848833. The reversal of 266407941848832 is 238848149704662.

266407941848832 is a `hidden beast` number, since 2 + 6 + 6 + 4 + 0 + 79 + 41 + 8 + 488 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266407941848833) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50048455323 + ... + 50048460645.

It is an arithmetic number, because the mean of its divisors is an integer number (825147061200).

Almost surely, 2^{266407941848832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266407941848832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475284707251200).

266407941848832 is an abundant number, since it is smaller than the sum of its proper divisors (684161472653568).

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

266407941848832 is a wasteful number, since it uses less digits than its factorization.

266407941848832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6110 (or 6090 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 266407941848832 in words is "two hundred sixty-six trillion, four hundred seven billion, nine hundred forty-one million, eight hundred forty-eight thousand, eight hundred thirty-two".