21468067200 has 192 divisors, whose sum is σ = 78567478800. Its totient is φ = 5724794880.

The previous prime is 21468067199. The next prime is 21468067217. The reversal of 21468067200 is 276086412.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37837 + ... + 210636.

Almost surely, 2^21468067200 is an apocalyptic number.

21468067200 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 21468067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39283739400).

21468067200 is an abundant number, since it is smaller than the sum of its proper divisors (57099411600).

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

21468067200 is a wasteful number, since it uses less digits than its factorization.

21468067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248506 (or 248483 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 21468067200 in words is "twenty-one billion, four hundred sixty-eight million, sixty-seven thousand, two hundred".