21199641216 has 384 divisors, whose sum is σ = 63864599040. Its totient is φ = 6222827520.

The previous prime is 21199641209. The next prime is 21199641217. The reversal of 21199641216 is 61214699112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21199641217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198127435 + ... + 198127541.

It is an arithmetic number, because the mean of its divisors is an integer number (166314060).

Almost surely, 2^21199641216 is an apocalyptic number.

21199641216 is a gapful number since it is divisible by the number (26) 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 21199641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31932299520).

21199641216 is an abundant number, since it is smaller than the sum of its proper divisors (42664957824).

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

21199641216 is a wasteful number, since it uses less digits than its factorization.

21199641216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 239 counting only the distinct ones).

The product of its digits is 46656, while the sum is 42.

The spelling of 21199641216 in words is "twenty-one billion, one hundred ninety-nine million, six hundred forty-one thousand, two hundred sixteen".