214890854860800 has 1152 divisors, whose sum is σ = 808092872496000. Its totient is φ = 56657732567040.

The previous prime is 214890854860789. The next prime is 214890854860909. The reversal of 214890854860800 is 8068458098412.

214890854860800 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 9 + 0 + 8 + 548 + 6 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 9965710819 + ... + 9965732381.

It is an arithmetic number, because the mean of its divisors is an integer number (701469507375).

Almost surely, 2^{214890854860800} is an apocalyptic number.

214890854860800 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 214890854860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404046436248000).

214890854860800 is an abundant number, since it is smaller than the sum of its proper divisors (593202017635200).

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

214890854860800 is an frugal number, since it uses more digits than its factorization.

214890854860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21705 (or 21662 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 214890854860800 in words is "two hundred fourteen trillion, eight hundred ninety billion, eight hundred fifty-four million, eight hundred sixty thousand, eight hundred".