21288989643300 has 288 divisors, whose sum is σ = 68948124537600. Its totient is φ = 5635025694720.

The previous prime is 21288989643287. The next prime is 21288989643323. The reversal of 21288989643300 is 334698988212.

21288989643300 is a `hidden beast` number, since 2 + 1 + 28 + 8 + 98 + 96 + 433 + 0 + 0 = 666.

It is a super-2 number, since 2×21288989643300² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 319654804 + ... + 319721396.

It is an arithmetic number, because the mean of its divisors is an integer number (239403210200).

Almost surely, 2^{21288989643300} is an apocalyptic number.

21288989643300 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 21288989643300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34474062268800).

21288989643300 is an abundant number, since it is smaller than the sum of its proper divisors (47659134894300).

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

21288989643300 is a wasteful number, since it uses less digits than its factorization.

21288989643300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67492 (or 67479 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 21288989643300 in words is "twenty-one trillion, two hundred eighty-eight billion, nine hundred eighty-nine million, six hundred forty-three thousand, three hundred".