21259200 has 168 divisors, whose sum is σ = 72062848. Its totient is φ = 5483520.

The previous prime is 21259193. The next prime is 21259219. The reversal of 21259200 is 295212.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206349 + ... + 206451.

Almost surely, 2^21259200 is an apocalyptic number.

21259200 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 21259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36031424).

21259200 is an abundant number, since it is smaller than the sum of its proper divisors (50803648).

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

21259200 is a wasteful number, since it uses less digits than its factorization.

21259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 21259200 is about 4610.7700007699. The cubic root of 21259200 is about 277.0228795066.

It can be divided in two parts, 2125 and 9200, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 21259200 in words is "twenty-one million, two hundred fifty-nine thousand, two hundred".