26291098480400 has 480 divisors, whose sum is σ = 71695497840288. Its totient is φ = 9198025113600.

The previous prime is 26291098480373. The next prime is 26291098480421. The reversal of 26291098480400 is 408489019262.

It is a happy number.

It can be written as a sum of positive squares in 48 ways, for example, as 23517727842064 + 2773370638336 = 4849508^2 + 1665344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4835586482 + ... + 4835591918.

Almost surely, 2^{26291098480400} is an apocalyptic number.

26291098480400 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 26291098480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35847748920144).

26291098480400 is an abundant number, since it is smaller than the sum of its proper divisors (45404399359888).

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

26291098480400 is a wasteful number, since it uses less digits than its factorization.

26291098480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6159 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 53.

The spelling of 26291098480400 in words is "twenty-six trillion, two hundred ninety-one billion, ninety-eight million, four hundred eighty thousand, four hundred".