21828117136672 has 192 divisors, whose sum is σ = 55557355472640. Its totient is φ = 8191688601600.

The previous prime is 21828117136649. The next prime is 21828117136673. The reversal of 21828117136672 is 27663171182812.

It is not an unprimeable number, because it can be changed into a prime (21828117136673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29720178 + ... + 30445774.

It is an arithmetic number, because the mean of its divisors is an integer number (289361226420).

Almost surely, 2^{21828117136672} is an apocalyptic number.

21828117136672 is a gapful number since it is divisible by the number (22) 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 21828117136672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27778677736320).

21828117136672 is an abundant number, since it is smaller than the sum of its proper divisors (33729238335968).

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

21828117136672 is a wasteful number, since it uses less digits than its factorization.

21828117136672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726075 (or 726067 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 55.

The spelling of 21828117136672 in words is "twenty-one trillion, eight hundred twenty-eight billion, one hundred seventeen million, one hundred thirty-six thousand, six hundred seventy-two".