26423506544400 has 405 divisors, whose sum is σ = 106676547373461. Its totient is φ = 6039165162240.

The previous prime is 26423506544389. The next prime is 26423506544417. The reversal of 26423506544400 is 444560532462.

It is a happy number.

The square root of 26423506544400 is 5140380.

It is a perfect power (a square), and thus also a powerful number.

26423506544400 is a `hidden beast` number, since 2 + 6 + 4 + 235 + 0 + 6 + 5 + 4 + 4 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9512462355984 + 16911044188416 = 3084228^2 + 4112304^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2158953481 + ... + 2158965719.

Almost surely, 2^{26423506544400} is an apocalyptic number.

26423506544400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26423506544400 is the 5140380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26423506544400

26423506544400 is an abundant number, since it is smaller than the sum of its proper divisors (80253040829061).

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

26423506544400 is an equidigital number, since it uses as much as digits as its factorization.

26423506544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24516 (or 12256 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 26423506544400 in words is "twenty-six trillion, four hundred twenty-three billion, five hundred six million, five hundred forty-four thousand, four hundred".