218061043200 has 2880 divisors, whose sum is σ = 1099313639424. Its totient is φ = 39813120000.

The previous prime is 218061043073. The next prime is 218061043217. The reversal of 218061043200 is 2340160812.

218061043200 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 610 + 43 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×218061043200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 3574771170 + ... + 3574771230.

Almost surely, 2^218061043200 is an apocalyptic number.

218061043200 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 218061043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549656819712).

218061043200 is an abundant number, since it is smaller than the sum of its proper divisors (881252596224).

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

218061043200 is a wasteful number, since it uses less digits than its factorization.

218061043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 218061043200 in words is "two hundred eighteen billion, sixty-one million, forty-three thousand, two hundred".