230919525427680 has 1536 divisors, whose sum is σ = 860672861798400. Its totient is φ = 57744407347200.

The previous prime is 230919525427663. The next prime is 230919525427709. The reversal of 230919525427680 is 86724525919032.

230919525427680 is a `hidden beast` number, since 2 + 3 + 0 + 9 + 1 + 9 + 5 + 2 + 542 + 7 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 179146256476 + ... + 179146257764.

It is an arithmetic number, because the mean of its divisors is an integer number (560333894400).

It is a 1-persistent number, because it is pandigital, but 2⋅230919525427680 = 461839050855360 is not.

Almost surely, 2^{230919525427680} is an apocalyptic number.

230919525427680 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 230919525427680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430336430899200).

230919525427680 is an abundant number, since it is smaller than the sum of its proper divisors (629753336370720).

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

230919525427680 is a wasteful number, since it uses less digits than its factorization.

230919525427680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 230919525427680 in words is "two hundred thirty trillion, nine hundred nineteen billion, five hundred twenty-five million, four hundred twenty-seven thousand, six hundred eighty".