8233520000 has 160 divisors (see below), whose sum is σ = 20720086200. Its totient is φ = 3257600000.

The previous prime is 8233519997. The next prime is 8233520003. The reversal of 8233520000 is 253328.

It is an interprime number because it is at equal distance from previous prime (8233519997) and next prime (8233520003).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8233520003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8079491 + ... + 8080509.

Almost surely, 2^8233520000 is an apocalyptic number.

8233520000 is a gapful number since it is divisible by the number (80) 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 8233520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10360043100).

8233520000 is an abundant number, since it is smaller than the sum of its proper divisors (12486566200).

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

8233520000 is a wasteful number, since it uses less digits than its factorization.

8233520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 8233520000 is about 90738.7458586463. The cubic root of 8233520000 is about 2019.2736662554.

Adding to 8233520000 its reverse (253328), we get a palindrome (8233773328).

The spelling of 8233520000 in words is "eight billion, two hundred thirty-three million, five hundred twenty thousand".