230275777138680 has 1024 divisors, whose sum is σ = 865356742656000. Its totient is φ = 47729313275904.

The previous prime is 230275777138613. The next prime is 230275777138681. The reversal of 230275777138680 is 86831777572032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230275777138681) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 234258165469 + ... + 234258166451.

It is an arithmetic number, because the mean of its divisors is an integer number (845074944000).

Almost surely, 2^{230275777138680} is an apocalyptic number.

230275777138680 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 230275777138680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432678371328000).

230275777138680 is an abundant number, since it is smaller than the sum of its proper divisors (635080965517320).

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

230275777138680 is a wasteful number, since it uses less digits than its factorization.

230275777138680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 165957120, while the sum is 66.

The spelling of 230275777138680 in words is "two hundred thirty trillion, two hundred seventy-five billion, seven hundred seventy-seven million, one hundred thirty-eight thousand, six hundred eighty".