230769960960 has 1152 divisors, whose sum is σ = 951586272000. Its totient is φ = 47687270400.

The previous prime is 230769960931. The next prime is 230769961043. The reversal of 230769960960 is 69069967032.

It is a self number, because there is not a number n which added to its sum of digits gives 230769960960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1274972070 + ... + 1274972250.

It is an arithmetic number, because the mean of its divisors is an integer number (826029750).

Almost surely, 2^230769960960 is an apocalyptic number.

230769960960 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 230769960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475793136000).

230769960960 is an abundant number, since it is smaller than the sum of its proper divisors (720816311040).

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

230769960960 is a wasteful number, since it uses less digits than its factorization.

230769960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 57.

The spelling of 230769960960 in words is "two hundred thirty billion, seven hundred sixty-nine million, nine hundred sixty thousand, nine hundred sixty".