230079031680 has 512 divisors, whose sum is σ = 808662528000. Its totient is φ = 55382925312.

The previous prime is 230079031667. The next prime is 230079031681. The reversal of 230079031680 is 86130970032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230079031681) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 371694411 + ... + 371695029.

It is an arithmetic number, because the mean of its divisors is an integer number (1579419000).

Almost surely, 2^230079031680 is an apocalyptic number.

230079031680 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 230079031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404331264000).

230079031680 is an abundant number, since it is smaller than the sum of its proper divisors (578583496320).

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

230079031680 is a wasteful number, since it uses less digits than its factorization.

230079031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 230079031680 in words is "two hundred thirty billion, seventy-nine million, thirty-one thousand, six hundred eighty".