21225859200 has 1296 divisors, whose sum is σ = 96474754350. Its totient is φ = 4428103680.

The previous prime is 21225859199. The next prime is 21225859217. The reversal of 21225859200 is 295852212.

21225859200 is a `hidden beast` number, since 2 + 12 + 2 + 58 + 592 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 1922647104 + 19303212096 = 43848^2 + 138936^2 .

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

It is an unprimeable number.

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 161 ways as a sum of consecutive naturals, for example, 238492756 + ... + 238492844.

Almost surely, 2^21225859200 is an apocalyptic number.

21225859200 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 21225859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48237377175).

21225859200 is an abundant number, since it is smaller than the sum of its proper divisors (75248895150).

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

21225859200 is a wasteful number, since it uses less digits than its factorization.

21225859200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 21225859200 in words is "twenty-one billion, two hundred twenty-five million, eight hundred fifty-nine thousand, two hundred".