213405334243200 has 576 divisors, whose sum is σ = 833863412004480. Its totient is φ = 51537896755200.

The previous prime is 213405334243187. The next prime is 213405334243243. The reversal of 213405334243200 is 2342433504312.

213405334243200 is a `hidden beast` number, since 2 + 1 + 3 + 40 + 533 + 42 + 43 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 82037739 + ... + 84599061.

It is an arithmetic number, because the mean of its divisors is an integer number (1447679534730).

Almost surely, 2^{213405334243200} is an apocalyptic number.

213405334243200 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 213405334243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416931706002240).

213405334243200 is an abundant number, since it is smaller than the sum of its proper divisors (620458077761280).

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

213405334243200 is a wasteful number, since it uses less digits than its factorization.

213405334243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561627 (or 2561607 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 213405334243200 its reverse (2342433504312), we get a palindrome (215747767747512).

The spelling of 213405334243200 in words is "two hundred thirteen trillion, four hundred five billion, three hundred thirty-four million, two hundred forty-three thousand, two hundred".