21168853200 has 720 divisors, whose sum is σ = 84172529280. Its totient is φ = 5048524800.

The previous prime is 21168853159. The next prime is 21168853201. The reversal of 21168853200 is 235886112.

It is a happy number.

21168853200 is a `hidden beast` number, since 2 + 116 + 8 + 8 + 532 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21168853201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 126759517 + ... + 126759683.

Almost surely, 2^21168853200 is an apocalyptic number.

21168853200 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 21168853200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42086264640).

21168853200 is an abundant number, since it is smaller than the sum of its proper divisors (63003676080).

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

21168853200 is a wasteful number, since it uses less digits than its factorization.

21168853200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 21168853200 in words is "twenty-one billion, one hundred sixty-eight million, eight hundred fifty-three thousand, two hundred".