213208320000 has 480 divisors, whose sum is σ = 765110586240. Its totient is φ = 52469760000.

The previous prime is 213208319981. The next prime is 213208320037. The reversal of 213208320000 is 23802312.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49917865 + ... + 49922135.

It is an arithmetic number, because the mean of its divisors is an integer number (1593980388).

Almost surely, 2^213208320000 is an apocalyptic number.

213208320000 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 213208320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382555293120).

213208320000 is an abundant number, since it is smaller than the sum of its proper divisors (551902266240).

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

213208320000 is an equidigital number, since it uses as much as digits as its factorization.

213208320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4329 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The spelling of 213208320000 in words is "two hundred thirteen billion, two hundred eight million, three hundred twenty thousand".