21367227668160 has 896 divisors, whose sum is σ = 77980055408640. Its totient is φ = 4910196326400.

The previous prime is 21367227668153. The next prime is 21367227668161. The reversal of 21367227668160 is 6186672276312.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21367227668160.

It is not an unprimeable number, because it can be changed into a prime (21367227668161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4205316820 + ... + 4205321900.

It is an arithmetic number, because the mean of its divisors is an integer number (87031311840).

Almost surely, 2^{21367227668160} is an apocalyptic number.

21367227668160 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 21367227668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38990027704320).

21367227668160 is an abundant number, since it is smaller than the sum of its proper divisors (56612827740480).

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

21367227668160 is a wasteful number, since it uses less digits than its factorization.

21367227668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5425 (or 5415 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 21367227668160 in words is "twenty-one trillion, three hundred sixty-seven billion, two hundred twenty-seven million, six hundred sixty-eight thousand, one hundred sixty".