21992563200 has 480 divisors, whose sum is σ = 77974402176. Its totient is φ = 5449973760.

The previous prime is 21992563199. The next prime is 21992563267. The reversal of 21992563200 is 236529912.

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

It is a super-2 number, since 2×21992563200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32678064 + ... + 32678736.

Almost surely, 2^21992563200 is an apocalyptic number.

21992563200 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 21992563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38987201088).

21992563200 is an abundant number, since it is smaller than the sum of its proper divisors (55981838976).

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

21992563200 is a wasteful number, since it uses less digits than its factorization.

21992563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 21992563200 in words is "twenty-one billion, nine hundred ninety-two million, five hundred sixty-three thousand, two hundred".