21088893089600 has 1008 divisors, whose sum is σ = 63655310799360. Its totient is φ = 6733177651200.

The previous prime is 21088893089599. The next prime is 21088893089707. The reversal of 21088893089600 is 698039888012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75049441460 + ... + 75049441740.

It is an arithmetic number, because the mean of its divisors is an integer number (63150109920).

Almost surely, 2^{21088893089600} is an apocalyptic number.

21088893089600 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 21088893089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31827655399680).

21088893089600 is an abundant number, since it is smaller than the sum of its proper divisors (42566417709760).

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

21088893089600 is a wasteful number, since it uses less digits than its factorization.

21088893089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 62.

The spelling of 21088893089600 in words is "twenty-one trillion, eighty-eight billion, eight hundred ninety-three million, eighty-nine thousand, six hundred".