21200201984 has 72 divisors (see below), whose sum is σ = 46804758840. Its totient is φ = 9520201728.

The previous prime is 21200201959. The next prime is 21200201987. The reversal of 21200201984 is 48910200212.

It can be written as a sum of positive squares in 4 ways, for example, as 9240592384 + 11959609600 = 96128^2 + 109360^2 .

It is not an unprimeable number, because it can be changed into a prime (21200201987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37052 + ... + 209220.

It is an arithmetic number, because the mean of its divisors is an integer number (650066095).

Almost surely, 2^21200201984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21200201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23402379420).

21200201984 is an abundant number, since it is smaller than the sum of its proper divisors (25604556856).

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

21200201984 is a wasteful number, since it uses less digits than its factorization.

21200201984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172235 (or 172221 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 21200201984 in words is "twenty-one billion, two hundred million, two hundred one thousand, nine hundred eighty-four".