213985081945200 has 480 divisors, whose sum is σ = 696883001561856. Its totient is φ = 56117056020480.

The previous prime is 213985081945171. The next prime is 213985081945237. The reversal of 213985081945200 is 2549180589312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49045398219 + ... + 49045402581.

Almost surely, 2^{213985081945200} is an apocalyptic number.

213985081945200 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 213985081945200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348441500780928).

213985081945200 is an abundant number, since it is smaller than the sum of its proper divisors (482897919616656).

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

213985081945200 is a wasteful number, since it uses less digits than its factorization.

213985081945200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5961 (or 5950 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 57.

The spelling of 213985081945200 in words is "two hundred thirteen trillion, nine hundred eighty-five billion, eighty-one million, nine hundred forty-five thousand, two hundred".