21324793983300 has 216 divisors, whose sum is σ = 67021101098952. Its totient is φ = 5671330560000.

The previous prime is 21324793983281. The next prime is 21324793983307. The reversal of 21324793983300 is 338939742312.

21324793983300 is a `hidden beast` number, since 2 + 1 + 3 + 247 + 9 + 3 + 98 + 3 + 300 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 21092176834884 + 232617148416 = 4592622^2 + 482304^2 .

It is not an unprimeable number, because it can be changed into a prime (21324793983307) 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 71 ways as a sum of consecutive naturals, for example, 1591752202 + ... + 1591765598.

Almost surely, 2^{21324793983300} is an apocalyptic number.

21324793983300 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 21324793983300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33510550549476).

21324793983300 is an abundant number, since it is smaller than the sum of its proper divisors (45696307115652).

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

21324793983300 is a wasteful number, since it uses less digits than its factorization.

21324793983300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18039 (or 18029 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 21324793983300 in words is "twenty-one trillion, three hundred twenty-four billion, seven hundred ninety-three million, nine hundred eighty-three thousand, three hundred".