21449049600 has 960 divisors, whose sum is σ = 85488099840. Its totient is φ = 4679270400.

The previous prime is 21449049563. The next prime is 21449049607. The reversal of 21449049600 is 694094412.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21449049607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 208243149 + ... + 208243251.

It is an arithmetic number, because the mean of its divisors is an integer number (89050104).

Almost surely, 2^21449049600 is an apocalyptic number.

21449049600 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 21449049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42744049920).

21449049600 is an abundant number, since it is smaller than the sum of its proper divisors (64039050240).

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

21449049600 is a wasteful number, since it uses less digits than its factorization.

21449049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 21449049600 in words is "twenty-one billion, four hundred forty-nine million, forty-nine thousand, six hundred".