21734935664200 has 192 divisors, whose sum is σ = 55783790233920. Its totient is φ = 7809973248000.

The previous prime is 21734935664129. The next prime is 21734935664209. The reversal of 21734935664200 is 246653943712.

It is not an unprimeable number, because it can be changed into a prime (21734935664209) 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, 82154532 + ... + 82418668.

It is an arithmetic number, because the mean of its divisors is an integer number (290540574135).

Almost surely, 2^{21734935664200} is an apocalyptic number.

21734935664200 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 21734935664200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27891895116960).

21734935664200 is an abundant number, since it is smaller than the sum of its proper divisors (34048854569720).

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

21734935664200 is a wasteful number, since it uses less digits than its factorization.

21734935664200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264608 (or 264599 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 52.

The spelling of 21734935664200 in words is "twenty-one trillion, seven hundred thirty-four billion, nine hundred thirty-five million, six hundred sixty-four thousand, two hundred".