230528793600000 has 2016 divisors, whose sum is σ = 1001469649340160. Its totient is φ = 49912381440000.

The previous prime is 230528793599939. The next prime is 230528793600037. The reversal of 230528793600000 is 6397825032.

230528793600000 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 287 + 9 + 360 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×230528793600000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30643196239 + ... + 30643203761.

It is an arithmetic number, because the mean of its divisors is an integer number (496760738760).

Almost surely, 2^{230528793600000} is an apocalyptic number.

230528793600000 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 230528793600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500734824670080).

230528793600000 is an abundant number, since it is smaller than the sum of its proper divisors (770940855740160).

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

230528793600000 is an frugal number, since it uses more digits than its factorization.

230528793600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7606 (or 7559 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 230528793600000 in words is "two hundred thirty trillion, five hundred twenty-eight billion, seven hundred ninety-three million, six hundred thousand".