21225365664000 has 144 divisors (see below), whose sum is σ = 70500052371840. Its totient is φ = 5660097484800.

The previous prime is 21225365663981. The next prime is 21225365664001. The reversal of 21225365664000 is 46656352212.

It is a super-2 number, since 2×21225365664000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21225365664001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 110452780 + ... + 110644779.

Almost surely, 2^{21225365664000} is an apocalyptic number.

21225365664000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21225365664000 is an abundant number, since it is smaller than the sum of its proper divisors (49274686707840).

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

21225365664000 is an equidigital number, since it uses as much as digits as its factorization.

21225365664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221097593 (or 221097569 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 21225365664000 in words is "twenty-one trillion, two hundred twenty-five billion, three hundred sixty-five million, six hundred sixty-four thousand".