21381235200 has 480 divisors, whose sum is σ = 84534172800. Its totient is φ = 5261967360.

The previous prime is 21381235163. The next prime is 21381235201. The reversal of 21381235200 is 253218312.

21381235200 is a `hidden beast` number, since 2 + 13 + 8 + 123 + 520 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21381235201) 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, 4490421 + ... + 4495179.

It is an arithmetic number, because the mean of its divisors is an integer number (176112860).

Almost surely, 2^21381235200 is an apocalyptic number.

21381235200 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 21381235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42267086400).

21381235200 is an abundant number, since it is smaller than the sum of its proper divisors (63152937600).

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

21381235200 is a wasteful number, since it uses less digits than its factorization.

21381235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4809 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 21381235200 in words is "twenty-one billion, three hundred eighty-one million, two hundred thirty-five thousand, two hundred".