21944081980800 has 1152 divisors, whose sum is σ = 94509205190400. Its totient is φ = 4736069222400.

The previous prime is 21944081980783. The next prime is 21944081980841. The reversal of 21944081980800 is 808918044912.

It is a happy number.

21944081980800 is a `hidden beast` number, since 2 + 1 + 9 + 440 + 8 + 198 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1175923470 + ... + 1175942130.

Almost surely, 2^{21944081980800} is an apocalyptic number.

21944081980800 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 21944081980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47254602595200).

21944081980800 is an abundant number, since it is smaller than the sum of its proper divisors (72565123209600).

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

21944081980800 is a wasteful number, since it uses less digits than its factorization.

21944081980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19024 (or 19004 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 21944081980800 in words is "twenty-one trillion, nine hundred forty-four billion, eighty-one million, nine hundred eighty thousand, eight hundred".