230864020732800 has 4608 divisors, whose sum is σ = 1079154679680000. Its totient is φ = 47768338759680.

The previous prime is 230864020732789. The next prime is 230864020732817. The reversal of 230864020732800 is 8237020468032.

230864020732800 is a `hidden beast` number, since 2 + 3 + 0 + 86 + 40 + 207 + 328 + 0 + 0 = 666.

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 575 ways as a sum of consecutive naturals, for example, 1160120707101 + ... + 1160120707299.

It is an arithmetic number, because the mean of its divisors is an integer number (234191553750).

Almost surely, 2^{230864020732800} is an apocalyptic number.

230864020732800 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 230864020732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539577339840000).

230864020732800 is an abundant number, since it is smaller than the sum of its proper divisors (848290658947200).

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

230864020732800 is a wasteful number, since it uses less digits than its factorization.

230864020732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 230864020732800 in words is "two hundred thirty trillion, eight hundred sixty-four billion, twenty million, seven hundred thirty-two thousand, eight hundred".