213420303360 has 660 divisors, whose sum is σ = 840821077404. Its totient is φ = 51726090240.

The previous prime is 213420303353. The next prime is 213420303391. The reversal of 213420303360 is 63303024312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 46407499776 + 167012803584 = 215424^2 + 408672^2 .

It is a tau number, because it is divible by the number of its divisors (660).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 50178994 + ... + 50183246.

Almost surely, 2^213420303360 is an apocalyptic number.

213420303360 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 213420303360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420410538702).

213420303360 is an abundant number, since it is smaller than the sum of its proper divisors (627400774044).

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

213420303360 is a wasteful number, since it uses less digits than its factorization.

213420303360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 213420303360 its reverse (63303024312), we get a palindrome (276723327672).

The spelling of 213420303360 in words is "two hundred thirteen billion, four hundred twenty million, three hundred three thousand, three hundred sixty".