21325408689000 has 512 divisors, whose sum is σ = 77463205747200. Its totient is φ = 4838637772800.

The previous prime is 21325408688999. The next prime is 21325408689031. The reversal of 21325408689000 is 98680452312.

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 127 ways as a sum of consecutive naturals, for example, 27028092 + ... + 27805908.

It is an arithmetic number, because the mean of its divisors is an integer number (151295323725).

Almost surely, 2^{21325408689000} is an apocalyptic number.

21325408689000 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 21325408689000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38731602873600).

21325408689000 is an abundant number, since it is smaller than the sum of its proper divisors (56137797058200).

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

21325408689000 is a wasteful number, since it uses less digits than its factorization.

21325408689000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777910 (or 777896 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 21325408689000 in words is "twenty-one trillion, three hundred twenty-five billion, four hundred eight million, six hundred eighty-nine thousand".