21723983601120 has 288 divisors, whose sum is σ = 75579434671104. Its totient is φ = 5680177152000.

The previous prime is 21723983601079. The next prime is 21723983601139. The reversal of 21723983601120 is 2110638932712.

It is a happy number.

21723983601120 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 39 + 8 + 3 + 601 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122099425 + ... + 122277215.

It is an arithmetic number, because the mean of its divisors is an integer number (262428592608).

Almost surely, 2^{21723983601120} is an apocalyptic number.

21723983601120 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 21723983601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37789717335552).

21723983601120 is an abundant number, since it is smaller than the sum of its proper divisors (53855451069984).

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

21723983601120 is a wasteful number, since it uses less digits than its factorization.

21723983601120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179466 (or 179455 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 21723983601120 in words is "twenty-one trillion, seven hundred twenty-three billion, nine hundred eighty-three million, six hundred one thousand, one hundred twenty".