21421605625200 has 720 divisors, whose sum is σ = 83022995072160. Its totient is φ = 5071196160000.

The previous prime is 21421605625171. The next prime is 21421605625223. The reversal of 21421605625200 is 252650612412.

21421605625200 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 1 + 6 + 0 + 5 + 625 + 20 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 291934116 + ... + 292007484.

It is an arithmetic number, because the mean of its divisors is an integer number (115309715378).

Almost surely, 2^{21421605625200} is an apocalyptic number.

21421605625200 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 21421605625200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41511497536080).

21421605625200 is an abundant number, since it is smaller than the sum of its proper divisors (61601389446960).

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

21421605625200 is a wasteful number, since it uses less digits than its factorization.

21421605625200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73578 (or 73564 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 21421605625200 in words is "twenty-one trillion, four hundred twenty-one billion, six hundred five million, six hundred twenty-five thousand, two hundred".