213936781968000 has 6144 divisors, whose sum is σ = 1026874224230400. Its totient is φ = 41459702169600.

The previous prime is 213936781967999. The next prime is 213936781968017. The reversal of 213936781968000 is 869187639312.

213936781968000 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 367 + 8 + 196 + 80 + 0 + 0 = 666.

It is a super-3 number, since 3×213936781968000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 942452783887 + ... + 942452784113.

It is an arithmetic number, because the mean of its divisors is an integer number (167134476600).

Almost surely, 2^{213936781968000} is an apocalyptic number.

213936781968000 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 213936781968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513437112115200).

213936781968000 is an abundant number, since it is smaller than the sum of its proper divisors (812937442262400).

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

213936781968000 is a wasteful number, since it uses less digits than its factorization.

213936781968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 213936781968000 in words is "two hundred thirteen trillion, nine hundred thirty-six billion, seven hundred eighty-one million, nine hundred sixty-eight thousand".