213225760000 has 180 divisors, whose sum is σ = 580208073984. Its totient is φ = 77536000000.

The previous prime is 213225759983. The next prime is 213225760001. The reversal of 213225760000 is 67522312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213225760001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1699425 + ... + 1820575.

Almost surely, 2^213225760000 is an apocalyptic number.

213225760000 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 213225760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290104036992).

213225760000 is an abundant number, since it is smaller than the sum of its proper divisors (366982313984).

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

213225760000 is an equidigital number, since it uses as much as digits as its factorization.

213225760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121198 (or 121169 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 213225760000 in words is "two hundred thirteen billion, two hundred twenty-five million, seven hundred sixty thousand".