213343320960 has 2560 divisors, whose sum is σ = 1045021824000. Its totient is φ = 40131624960.

The previous prime is 213343320917. The next prime is 213343321007. The reversal of 213343320960 is 69023343312.

213343320960 is a `hidden beast` number, since 2 + 13 + 3 + 433 + 209 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2199415632 + ... + 2199415728.

It is an arithmetic number, because the mean of its divisors is an integer number (408211650).

Almost surely, 2^213343320960 is an apocalyptic number.

213343320960 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 213343320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522510912000).

213343320960 is an abundant number, since it is smaller than the sum of its proper divisors (831678503040).

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

213343320960 is a wasteful number, since it uses less digits than its factorization.

213343320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 213343320960 in words is "two hundred thirteen billion, three hundred forty-three million, three hundred twenty thousand, nine hundred sixty".