21968058781440 has 648 divisors, whose sum is σ = 79032655316160. Its totient is φ = 5850277208064.

The previous prime is 21968058781423. The next prime is 21968058781457. The reversal of 21968058781440 is 4418785086912.

21968058781440 is a `hidden beast` number, since 2 + 1 + 9 + 6 + 8 + 0 + 587 + 8 + 1 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (21968058781423) and next prime (21968058781457).

It is a tau number, because it is divible by the number of its divisors (648).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8977546297 + ... + 8977548743.

Almost surely, 2^{21968058781440} is an apocalyptic number.

21968058781440 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 21968058781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39516327658080).

21968058781440 is an abundant number, since it is smaller than the sum of its proper divisors (57064596534720).

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

21968058781440 is an frugal number, since it uses more digits than its factorization.

21968058781440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 21968058781440 in words is "twenty-one trillion, nine hundred sixty-eight billion, fifty-eight million, seven hundred eighty-one thousand, four hundred forty".