213375224160 has 768 divisors, whose sum is σ = 882634475520. Its totient is φ = 47129886720.

The previous prime is 213375224159. The next prime is 213375224171. The reversal of 213375224160 is 61422573312.

213375224160 is a `hidden beast` number, since 2 + 1 + 3 + 37 + 522 + 41 + 60 = 666.

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 127 ways as a sum of consecutive naturals, for example, 140101159 + ... + 140102681.

It is an arithmetic number, because the mean of its divisors is an integer number (1149263640).

Almost surely, 2^213375224160 is an apocalyptic number.

213375224160 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 213375224160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441317237760).

213375224160 is an abundant number, since it is smaller than the sum of its proper divisors (669259251360).

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

213375224160 is a wasteful number, since it uses less digits than its factorization.

213375224160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 213375224160 its reverse (61422573312), we get a palindrome (274797797472).

The spelling of 213375224160 in words is "two hundred thirteen billion, three hundred seventy-five million, two hundred twenty-four thousand, one hundred sixty".