21223839127680 has 1024 divisors, whose sum is σ = 87815094681600. Its totient is φ = 4803836129280.

The previous prime is 21223839127619. The next prime is 21223839127709. The reversal of 21223839127680 is 8672193832212.

21223839127680 is a `hidden beast` number, since 2 + 1 + 223 + 8 + 391 + 27 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1009158765 + ... + 1009179795.

It is an arithmetic number, because the mean of its divisors is an integer number (85756928400).

Almost surely, 2^{21223839127680} is an apocalyptic number.

21223839127680 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 21223839127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43907547340800).

21223839127680 is an abundant number, since it is smaller than the sum of its proper divisors (66591255553920).

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

21223839127680 is an equidigital number, since it uses as much as digits as its factorization.

21223839127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21181 (or 21151 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 21223839127680 in words is "twenty-one trillion, two hundred twenty-three billion, eight hundred thirty-nine million, one hundred twenty-seven thousand, six hundred eighty".