21641472000 has 768 divisors, whose sum is σ = 83404339200. Its totient is φ = 5529600000.

The previous prime is 21641471953. The next prime is 21641472001. The reversal of 21641472000 is 27414612.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21641472001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214271950 + ... + 214272050.

It is an arithmetic number, because the mean of its divisors is an integer number (108599400).

Almost surely, 2^21641472000 is an apocalyptic number.

21641472000 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 21641472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41702169600).

21641472000 is an abundant number, since it is smaller than the sum of its proper divisors (61762867200).

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

21641472000 is a wasteful number, since it uses less digits than its factorization.

21641472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 21641472000 its reverse (27414612), we get a palindrome (21668886612).

The spelling of 21641472000 in words is "twenty-one billion, six hundred forty-one million, four hundred seventy-two thousand".