21416220800 has 216 divisors, whose sum is σ = 57576723615. Its totient is φ = 7867791360.

The previous prime is 21416220799. The next prime is 21416220811. The reversal of 21416220800 is 802261412.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1340731456 + 20075489344 = 36616^2 + 141688^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=103480.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 21416220800.

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 26 ways as a sum of consecutive naturals, for example, 107619101 + ... + 107619299.

Almost surely, 2^21416220800 is an apocalyptic number.

21416220800 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 21416220800

21416220800 is an abundant number, since it is smaller than the sum of its proper divisors (36160502815).

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

21416220800 is an equidigital number, since it uses as much as digits as its factorization.

21416220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The spelling of 21416220800 in words is "twenty-one billion, four hundred sixteen million, two hundred twenty thousand, eight hundred".