21241589896800 has 864 divisors, whose sum is σ = 92402640727488. Its totient is φ = 4471331880960.

The previous prime is 21241589896733. The next prime is 21241589896811. The reversal of 21241589896800 is 869898514212.

21241589896800 is a `hidden beast` number, since 2 + 1 + 2 + 41 + 589 + 8 + 9 + 6 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 283664164 + ... + 283739036.

It is an arithmetic number, because the mean of its divisors is an integer number (106947500842).

Almost surely, 2^{21241589896800} is an apocalyptic number.

21241589896800 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 21241589896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46201320363744).

21241589896800 is an abundant number, since it is smaller than the sum of its proper divisors (71161050830688).

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

21241589896800 is a wasteful number, since it uses less digits than its factorization.

21241589896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75352 (or 75336 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 21241589896800 in words is "twenty-one trillion, two hundred forty-one billion, five hundred eighty-nine million, eight hundred ninety-six thousand, eight hundred".