26726400000 has 576 divisors, whose sum is σ = 99832086900. Its totient is φ = 6881280000.

The previous prime is 26726399983. The next prime is 26726400013. The reversal of 26726400000 is 462762.

It can be written as a sum of positive squares in 6 ways, for example, as 3015327744 + 23711072256 = 54912^2 + 153984^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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, 921599986 + ... + 921600014.

Almost surely, 2^26726400000 is an apocalyptic number.

26726400000 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 26726400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49916043450).

26726400000 is an abundant number, since it is smaller than the sum of its proper divisors (73105686900).

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

26726400000 is an frugal number, since it uses more digits than its factorization.

26726400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 26726400000 its reverse (462762), we get a palindrome (26726862762).

The spelling of 26726400000 in words is "twenty-six billion, seven hundred twenty-six million, four hundred thousand".