213218870128000 has 1024 divisors, whose sum is σ = 605886354028800. Its totient is φ = 73910452224000.

The previous prime is 213218870127937. The next prime is 213218870128003. The reversal of 213218870128000 is 821078812312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213218870128003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 194365423452 + ... + 194365424548.

Almost surely, 2^{213218870128000} is an apocalyptic number.

213218870128000 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 213218870128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302943177014400).

213218870128000 is an abundant number, since it is smaller than the sum of its proper divisors (392667483900800).

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

213218870128000 is a wasteful number, since it uses less digits than its factorization.

213218870128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 43.

The spelling of 213218870128000 in words is "two hundred thirteen trillion, two hundred eighteen billion, eight hundred seventy million, one hundred twenty-eight thousand".