213815481600 has 1728 divisors, whose sum is σ = 912279388160. Its totient is φ = 42998169600.

The previous prime is 213815481533. The next prime is 213815481611. The reversal of 213815481600 is 6184518312.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2928979164 + ... + 2928979236.

Almost surely, 2^213815481600 is an apocalyptic number.

213815481600 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 213815481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456139694080).

213815481600 is an abundant number, since it is smaller than the sum of its proper divisors (698463906560).

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

213815481600 is a wasteful number, since it uses less digits than its factorization.

213815481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

Adding to 213815481600 its reverse (6184518312), we get a palindrome (219999999912).

The spelling of 213815481600 in words is "two hundred thirteen billion, eight hundred fifteen million, four hundred eighty-one thousand, six hundred".