21795964344000 has 2016 divisors, whose sum is σ = 100468004921856. Its totient is φ = 4381862400000.

The previous prime is 21795964343987. The next prime is 21795964344001. The reversal of 21795964344000 is 44346959712.

21795964344000 is a `hidden beast` number, since 2 + 1 + 7 + 9 + 596 + 4 + 3 + 4 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is not an unprimeable number, because it can be changed into a prime (21795964344001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5327781955 + ... + 5327786045.

Almost surely, 2^{21795964344000} is an apocalyptic number.

21795964344000 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 21795964344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50234002460928).

21795964344000 is an abundant number, since it is smaller than the sum of its proper divisors (78672040577856).

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

21795964344000 is a wasteful number, since it uses less digits than its factorization.

21795964344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 21795964344000 in words is "twenty-one trillion, seven hundred ninety-five billion, nine hundred sixty-four million, three hundred forty-four thousand".