21943351457280 has 2560 divisors, whose sum is σ = 94297404579840. Its totient is φ = 4775215104000.

The previous prime is 21943351457273. The next prime is 21943351457303. The reversal of 21943351457280 is 8275415334912.

21943351457280 is a `hidden beast` number, since 2 + 1 + 9 + 4 + 3 + 351 + 4 + 5 + 7 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24907322440 + ... + 24907323320.

It is an arithmetic number, because the mean of its divisors is an integer number (36834923664).

Almost surely, 2^{21943351457280} is an apocalyptic number.

21943351457280 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 21943351457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47148702289920).

21943351457280 is an abundant number, since it is smaller than the sum of its proper divisors (72354053122560).

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

21943351457280 is a wasteful number, since it uses less digits than its factorization.

21943351457280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 21943351457280 in words is "twenty-one trillion, nine hundred forty-three billion, three hundred fifty-one million, four hundred fifty-seven thousand, two hundred eighty".