213233509920 has 192 divisors, whose sum is σ = 695924490240. Its totient is φ = 54823910400.

The previous prime is 213233509913. The next prime is 213233509943. The reversal of 213233509920 is 29905332312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4006041 + ... + 4058919.

It is an arithmetic number, because the mean of its divisors is an integer number (3624606720).

Almost surely, 2^213233509920 is an apocalyptic number.

213233509920 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 213233509920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347962245120).

213233509920 is an abundant number, since it is smaller than the sum of its proper divisors (482690980320).

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

213233509920 is a wasteful number, since it uses less digits than its factorization.

213233509920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53199 (or 53191 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The spelling of 213233509920 in words is "two hundred thirteen billion, two hundred thirty-three million, five hundred nine thousand, nine hundred twenty".