21982661568000 has 960 divisors, whose sum is σ = 91033121507328. Its totient is φ = 4994367897600.

The previous prime is 21982661567987. The next prime is 21982661568037. The reversal of 21982661568000 is 86516628912.

21982661568000 is a `hidden beast` number, since 2 + 19 + 8 + 2 + 6 + 61 + 568 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×21982661568000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 673327677 + ... + 673360323.

Almost surely, 2^{21982661568000} is an apocalyptic number.

21982661568000 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 21982661568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45516560753664).

21982661568000 is an abundant number, since it is smaller than the sum of its proper divisors (69050459939328).

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

21982661568000 is a wasteful number, since it uses less digits than its factorization.

21982661568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32860 (or 32831 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 21982661568000 in words is "twenty-one trillion, nine hundred eighty-two billion, six hundred sixty-one million, five hundred sixty-eight thousand".