21723654710160 has 320 divisors, whose sum is σ = 80610225615360. Its totient is φ = 5345472337920.

The previous prime is 21723654710129. The next prime is 21723654710161. The reversal of 21723654710160 is 6101745632712.

21723654710160 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 36 + 547 + 10 + 1 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21723654710161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80201677 + ... + 80472083.

It is an arithmetic number, because the mean of its divisors is an integer number (251906955048).

Almost surely, 2^{21723654710160} is an apocalyptic number.

21723654710160 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 21723654710160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40305112807680).

21723654710160 is an abundant number, since it is smaller than the sum of its proper divisors (58886570905200).

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

21723654710160 is a wasteful number, since it uses less digits than its factorization.

21723654710160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273303 (or 273291 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 21723654710160 in words is "twenty-one trillion, seven hundred twenty-three billion, six hundred fifty-four million, seven hundred ten thousand, one hundred sixty".