211668799560000 has 560 divisors, whose sum is σ = 721398013940736. Its totient is φ = 54727599872000.

The previous prime is 211668799559983. The next prime is 211668799560089. The reversal of 211668799560000 is 65997866112.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 603304627 + ... + 603655373.

Almost surely, 2^{211668799560000} is an apocalyptic number.

211668799560000 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 211668799560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360699006970368).

211668799560000 is an abundant number, since it is smaller than the sum of its proper divisors (509729214380736).

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

211668799560000 is a wasteful number, since it uses less digits than its factorization.

211668799560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350936 (or 350911 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 60.

The spelling of 211668799560000 in words is "two hundred eleven trillion, six hundred sixty-eight billion, seven hundred ninety-nine million, five hundred sixty thousand".