230838520377600 has 1296 divisors, whose sum is σ = 917602597800000. Its totient is φ = 56587263344640.

The previous prime is 230838520377589. The next prime is 230838520377659. The reversal of 230838520377600 is 6773025838032.

230838520377600 is a `hidden beast` number, since 2 + 3 + 0 + 8 + 3 + 8 + 5 + 20 + 3 + 7 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 143 ways as a sum of consecutive naturals, for example, 5431601151 + ... + 5431643649.

Almost surely, 2^{230838520377600} is an apocalyptic number.

230838520377600 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 230838520377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458801298900000).

230838520377600 is an abundant number, since it is smaller than the sum of its proper divisors (686764077422400).

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

230838520377600 is a wasteful number, since it uses less digits than its factorization.

230838520377600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42637 (or 42569 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 230838520377600 in words is "two hundred thirty trillion, eight hundred thirty-eight billion, five hundred twenty million, three hundred seventy-seven thousand, six hundred".