266407680000 has 1920 divisors, whose sum is σ = 1193719887360. Its totient is φ = 51118080000.

The previous prime is 266407679977. The next prime is 266407680001. The reversal of 266407680000 is 86704662.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266407680001) 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 159 ways as a sum of consecutive naturals, for example, 5026559974 + ... + 5026560026.

It is an arithmetic number, because the mean of its divisors is an integer number (621729108).

Almost surely, 2^266407680000 is an apocalyptic number.

266407680000 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 266407680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596859943680).

266407680000 is an abundant number, since it is smaller than the sum of its proper divisors (927312207360).

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

266407680000 is a wasteful number, since it uses less digits than its factorization.

266407680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 266407680000 in words is "two hundred sixty-six billion, four hundred seven million, six hundred eighty thousand".