213215322400 has 36 divisors (see below), whose sum is σ = 520511907762. Its totient is φ = 85286128640.

The previous prime is 213215322391. The next prime is 213215322421. The reversal of 213215322400 is 4223512312.

It can be written as a sum of positive squares in 3 ways, for example, as 159229729296 + 53985593104 = 399036^2 + 232348^2 .

It is a super-2 number, since 2×213215322400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133258777 + ... + 133260376.

Almost surely, 2^213215322400 is an apocalyptic number.

213215322400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213215322400 is an abundant number, since it is smaller than the sum of its proper divisors (307296585362).

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

213215322400 is a wasteful number, since it uses less digits than its factorization.

213215322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266519173 (or 266519160 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 213215322400 its reverse (4223512312), we get a palindrome (217438834712).

The spelling of 213215322400 in words is "two hundred thirteen billion, two hundred fifteen million, three hundred twenty-two thousand, four hundred".