230752541600 has 288 divisors, whose sum is σ = 672796938240. Its totient is φ = 75562122240.

The previous prime is 230752541561. The next prime is 230752541627. The reversal of 230752541600 is 6145257032.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162158489 + ... + 162159911.

It is an arithmetic number, because the mean of its divisors is an integer number (2336100480).

Almost surely, 2^230752541600 is an apocalyptic number.

230752541600 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 230752541600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336398469120).

230752541600 is an abundant number, since it is smaller than the sum of its proper divisors (442044396640).

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

230752541600 is a wasteful number, since it uses less digits than its factorization.

230752541600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

Adding to 230752541600 its reverse (6145257032), we get a palindrome (236897798632).

The spelling of 230752541600 in words is "two hundred thirty billion, seven hundred fifty-two million, five hundred forty-one thousand, six hundred".