213004419509200 has 480 divisors, whose sum is σ = 573973678333440. Its totient is φ = 75309966950400.

The previous prime is 213004419509173. The next prime is 213004419509237. The reversal of 213004419509200 is 2905914400312.

213004419509200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17077234164 + ... + 17077246636.

It is an arithmetic number, because the mean of its divisors is an integer number (1195778496528).

Almost surely, 2^{213004419509200} is an apocalyptic number.

213004419509200 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 213004419509200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286986839166720).

213004419509200 is an abundant number, since it is smaller than the sum of its proper divisors (360969258824240).

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

213004419509200 is a wasteful number, since it uses less digits than its factorization.

213004419509200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13327 (or 13316 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 213004419509200 in words is "two hundred thirteen trillion, four billion, four hundred nineteen million, five hundred nine thousand, two hundred".