21765276222120 has 768 divisors, whose sum is σ = 77307189523200. Its totient is φ = 5444504432640.

The previous prime is 21765276222061. The next prime is 21765276222121. The reversal of 21765276222120 is 2122267256712.

21765276222120 is a `hidden beast` number, since 2 + 1 + 7 + 6 + 5 + 2 + 7 + 622 + 2 + 12 + 0 = 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 (21765276222121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4598619274 + ... + 4598624006.

It is an arithmetic number, because the mean of its divisors is an integer number (100660403025).

Almost surely, 2^{21765276222120} is an apocalyptic number.

21765276222120 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 21765276222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38653594761600).

21765276222120 is an abundant number, since it is smaller than the sum of its proper divisors (55541913301080).

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

21765276222120 is a wasteful number, since it uses less digits than its factorization.

21765276222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4955 (or 4916 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 21765276222120 in words is "twenty-one trillion, seven hundred sixty-five billion, two hundred seventy-six million, two hundred twenty-two thousand, one hundred twenty".