230505520800 has 144 divisors (see below), whose sum is σ = 754067361600. Its totient is φ = 61159127040.

The previous prime is 230505520789. The next prime is 230505520829. The reversal of 230505520800 is 8025505032.

230505520800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236284 + ... + 718916.

It is an arithmetic number, because the mean of its divisors is an integer number (5236578900).

Almost surely, 2^230505520800 is an apocalyptic number.

230505520800 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 230505520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377033680800).

230505520800 is an abundant number, since it is smaller than the sum of its proper divisors (523561840800).

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

230505520800 is a wasteful number, since it uses less digits than its factorization.

230505520800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482855 (or 482842 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 230505520800 in words is "two hundred thirty billion, five hundred five million, five hundred twenty thousand, eight hundred".