26481727681600 has 189 divisors, whose sum is σ = 65743624540047. Its totient is φ = 10498909639680.

The previous prime is 26481727681571. The next prime is 26481727681609. The reversal of 26481727681600 is 618672718462.

The square root of 26481727681600 is 5146040.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15805458969664 + 10676268711936 = 3975608^2 + 3267456^2 .

It is not an unprimeable number, because it can be changed into a prime (26481727681609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26141882694 + ... + 26141883706.

Almost surely, 2^{26481727681600} is an apocalyptic number.

26481727681600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26481727681600 is the 5146040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26481727681600

26481727681600 is an abundant number, since it is smaller than the sum of its proper divisors (39261896858447).

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

26481727681600 is an frugal number, since it uses more digits than its factorization.

26481727681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 58.

The spelling of 26481727681600 in words is "twenty-six trillion, four hundred eighty-one billion, seven hundred twenty-seven million, six hundred eighty-one thousand, six hundred".