214052728320000 has 3120 divisors, whose sum is σ = 861278255735040. Its totient is φ = 51137740800000.

The previous prime is 214052728319977. The next prime is 214052728320019. The reversal of 214052728320000 is 23827250412.

214052728320000 is a `hidden beast` number, since 2 + 1 + 405 + 27 + 28 + 3 + 200 + 0 + 0 = 666.

It is a super-3 number, since 3×214052728320000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 239 ways as a sum of consecutive naturals, for example, 3509061119970 + ... + 3509061120030.

It is an arithmetic number, because the mean of its divisors is an integer number (276050722992).

Almost surely, 2^{214052728320000} is an apocalyptic number.

214052728320000 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 214052728320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430639127867520).

214052728320000 is an abundant number, since it is smaller than the sum of its proper divisors (647225527415040).

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

214052728320000 is an frugal number, since it uses more digits than its factorization.

214052728320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 214052728320000 in words is "two hundred fourteen trillion, fifty-two billion, seven hundred twenty-eight million, three hundred twenty thousand".