21940935200 has 54 divisors (see below), whose sum is σ = 53573537871. Its totient is φ = 8774698240.

The previous prime is 21940935157. The next prime is 21940935221. The reversal of 21940935200 is 253904912.

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 16309333264 + 5631601936 = 127708^2 + 75044^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=104740.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 4186982 + ... + 4192218.

Almost surely, 2^21940935200 is an apocalyptic number.

21940935200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21940935200 is an abundant number, since it is smaller than the sum of its proper divisors (31632602671).

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

21940935200 is an frugal number, since it uses more digits than its factorization.

21940935200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10494 (or 5244 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 21940935200 in words is "twenty-one billion, nine hundred forty million, nine hundred thirty-five thousand, two hundred".