266368028400 has 180 divisors, whose sum is σ = 925025395528. Its totient is φ = 70981194240.

The previous prime is 266368028393. The next prime is 266368028413. The reversal of 266368028400 is 4820863662.

266368028400 is a `hidden beast` number, since 2 + 6 + 6 + 368 + 0 + 284 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 5205339 + ... + 5256261.

Almost surely, 2^266368028400 is an apocalyptic number.

266368028400 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 266368028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462512697764).

266368028400 is an abundant number, since it is smaller than the sum of its proper divisors (658657367128).

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

266368028400 is a wasteful number, since it uses less digits than its factorization.

266368028400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52400 (or 52386 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 266368028400 in words is "two hundred sixty-six billion, three hundred sixty-eight million, twenty-eight thousand, four hundred".