230177729765760 has 512 divisors, whose sum is σ = 903185904107520. Its totient is φ = 48701196656640.

The previous prime is 230177729765743. The next prime is 230177729765771. The reversal of 230177729765760 is 67567927771032.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2427322 + ... + 21592761.

It is an arithmetic number, because the mean of its divisors is an integer number (1764034968960).

Almost surely, 2^{230177729765760} is an apocalyptic number.

230177729765760 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 230177729765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451592952053760).

230177729765760 is an abundant number, since it is smaller than the sum of its proper divisors (673008174341760).

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

230177729765760 is a wasteful number, since it uses less digits than its factorization.

230177729765760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24020166 (or 24020154 counting only the distinct ones).

The product of its (nonzero) digits is 326728080, while the sum is 69.

The spelling of 230177729765760 in words is "two hundred thirty trillion, one hundred seventy-seven billion, seven hundred twenty-nine million, seven hundred sixty-five thousand, seven hundred sixty".