233520000000 has 704 divisors, whose sum is σ = 895560207360. Its totient is φ = 52992000000.

The previous prime is 233519999983. The next prime is 233520000001. The reversal of 233520000000 is 25332.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (233520000001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1679999931 + ... + 1680000069.

Almost surely, 2^233520000000 is an apocalyptic number.

233520000000 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 233520000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447780103680).

233520000000 is an abundant number, since it is smaller than the sum of its proper divisors (662040207360).

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

233520000000 is an frugal number, since it uses more digits than its factorization.

233520000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

Adding to 233520000000 its reverse (25332), we get a palindrome (233520025332).

The spelling of 233520000000 in words is "two hundred thirty-three billion, five hundred twenty million", and thus it is an aban number.