21896563200 has 480 divisors, whose sum is σ = 75350088000. Its totient is φ = 5601361920.

The previous prime is 21896563177. The next prime is 21896563207. The reversal of 21896563200 is 236569812.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (21896563207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146956726 + ... + 146956874.

It is an arithmetic number, because the mean of its divisors is an integer number (156979350).

Almost surely, 2^21896563200 is an apocalyptic number.

21896563200 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 21896563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37675044000).

21896563200 is an abundant number, since it is smaller than the sum of its proper divisors (53453524800).

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

21896563200 is a wasteful number, since it uses less digits than its factorization.

21896563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 21896563200 in words is "twenty-one billion, eight hundred ninety-six million, five hundred sixty-three thousand, two hundred".