266076608400 has 600 divisors, whose sum is σ = 1043782907904. Its totient is φ = 64621670400.

The previous prime is 266076608387. The next prime is 266076608401. The reversal of 266076608400 is 4806670662.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is not an unprimeable number, because it can be changed into a prime (266076608401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17067009 + ... + 17082591.

Almost surely, 2^266076608400 is an apocalyptic number.

266076608400 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 266076608400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521891453952).

266076608400 is an abundant number, since it is smaller than the sum of its proper divisors (777706299504).

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

266076608400 is a wasteful number, since it uses less digits than its factorization.

266076608400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15661 (or 15641 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 266076608400 in words is "two hundred sixty-six billion, seventy-six million, six hundred eight thousand, four hundred".