26198920396800 has 720 divisors, whose sum is σ = 98798204505000. Its totient is φ = 6618108395520.

The previous prime is 26198920396787. The next prime is 26198920396841. The reversal of 26198920396800 is 869302989162.

26198920396800 is a `hidden beast` number, since 2 + 61 + 98 + 9 + 20 + 396 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 2241325356 + ... + 2241337044.

Almost surely, 2^{26198920396800} is an apocalyptic number.

26198920396800 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 26198920396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49399102252500).

26198920396800 is an abundant number, since it is smaller than the sum of its proper divisors (72599284108200).

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

26198920396800 is an equidigital number, since it uses as much as digits as its factorization.

26198920396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11762 (or 11718 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 26198920396800 in words is "twenty-six trillion, one hundred ninety-eight billion, nine hundred twenty million, three hundred ninety-six thousand, eight hundred".