21944533893120 has 840 divisors, whose sum is σ = 81691056437760. Its totient is φ = 5649640980480.

The previous prime is 21944533893097. The next prime is 21944533893241. The reversal of 21944533893120 is 2139833544912.

It is a happy number.

21944533893120 is a `hidden beast` number, since 2 + 1 + 9 + 4 + 4 + 533 + 8 + 93 + 12 + 0 = 666.

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 55 ways as a sum of consecutive naturals, for example, 1731864385 + ... + 1731877055.

It is an arithmetic number, because the mean of its divisors is an integer number (97251257664).

Almost surely, 2^{21944533893120} is an apocalyptic number.

21944533893120 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 21944533893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40845528218880).

21944533893120 is an abundant number, since it is smaller than the sum of its proper divisors (59746522544640).

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

21944533893120 is an frugal number, since it uses more digits than its factorization.

21944533893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12751 (or 12710 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 21944533893120 in words is "twenty-one trillion, nine hundred forty-four billion, five hundred thirty-three million, eight hundred ninety-three thousand, one hundred twenty".