26400211200 has 1728 divisors, whose sum is σ = 120442291200. Its totient is φ = 5573836800.

The previous prime is 26400211169. The next prime is 26400211207. The reversal of 26400211200 is 211200462.

26400211200 is a `hidden beast` number, since 2 + 640 + 0 + 2 + 1 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (26400211207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 613958379 + ... + 613958421.

It is an arithmetic number, because the mean of its divisors is an integer number (69700400).

Almost surely, 2^26400211200 is an apocalyptic number.

26400211200 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 26400211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60221145600).

26400211200 is an abundant number, since it is smaller than the sum of its proper divisors (94042080000).

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

26400211200 is a wasteful number, since it uses less digits than its factorization.

26400211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 26400211200 its reverse (211200462), we get a palindrome (26611411662).

The spelling of 26400211200 in words is "twenty-six billion, four hundred million, two hundred eleven thousand, two hundred".