228660603125760 has 3456 divisors, whose sum is σ = 960872290035840. Its totient is φ = 51662014119936.

The previous prime is 228660603125729. The next prime is 228660603125761. The reversal of 228660603125760 is 67521306066822.

228660603125760 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 6 + 0 + 60 + 3 + 1 + 2 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a junction number, because it is equal to n+sod(n) for n = 228660603125697 and 228660603125706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228660603125761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2569220259796 + ... + 2569220259884.

It is an arithmetic number, because the mean of its divisors is an integer number (278030176515).

Almost surely, 2^{228660603125760} is an apocalyptic number.

228660603125760 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 228660603125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480436145017920).

228660603125760 is an abundant number, since it is smaller than the sum of its proper divisors (732211686910080).

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

228660603125760 is an frugal number, since it uses more digits than its factorization.

228660603125760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 228660603125760 in words is "two hundred twenty-eight trillion, six hundred sixty billion, six hundred three million, one hundred twenty-five thousand, seven hundred sixty".