213620732160 has 1152 divisors, whose sum is σ = 825986875392. Its totient is φ = 46497792000.

The previous prime is 213620732159. The next prime is 213620732219. The reversal of 213620732160 is 61237026312.

213620732160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1234801834 + ... + 1234802006.

It is an arithmetic number, because the mean of its divisors is an integer number (717002496).

Almost surely, 2^213620732160 is an apocalyptic number.

213620732160 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 213620732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412993437696).

213620732160 is an abundant number, since it is smaller than the sum of its proper divisors (612366143232).

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

213620732160 is a wasteful number, since it uses less digits than its factorization.

213620732160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

Adding to 213620732160 its reverse (61237026312), we get a palindrome (274857758472).

The spelling of 213620732160 in words is "two hundred thirteen billion, six hundred twenty million, seven hundred thirty-two thousand, one hundred sixty".