21700827832320 has 4032 divisors, whose sum is σ = 102669917575680. Its totient is φ = 4292937252864.

The previous prime is 21700827832303. The next prime is 21700827832331. The reversal of 21700827832320 is 2323872800712.

21700827832320 is a `hidden beast` number, since 2 + 170 + 0 + 82 + 7 + 83 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 223719874512 + ... + 223719874608.

It is an arithmetic number, because the mean of its divisors is an integer number (25463769240).

Almost surely, 2^{21700827832320} is an apocalyptic number.

21700827832320 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 21700827832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51334958787840).

21700827832320 is an abundant number, since it is smaller than the sum of its proper divisors (80969089743360).

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

21700827832320 is an equidigital number, since it uses as much as digits as its factorization.

21700827832320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 21700827832320 in words is "twenty-one trillion, seven hundred billion, eight hundred twenty-seven million, eight hundred thirty-two thousand, three hundred twenty".