488655085680 has 960 divisors, whose sum is σ = 1847714119680. Its totient is φ = 115221657600.

The previous prime is 488655085669. The next prime is 488655085697. The reversal of 488655085680 is 86580556884.

488655085680 is a `hidden beast` number, since 4 + 8 + 8 + 65 + 5 + 0 + 8 + 568 + 0 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 2315900775 + ... + 2315900985.

It is an arithmetic number, because the mean of its divisors is an integer number (1924702208).

Almost surely, 2^488655085680 is an apocalyptic number.

488655085680 is a gapful number since it is divisible by the number (40) 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 488655085680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923857059840).

488655085680 is an abundant number, since it is smaller than the sum of its proper divisors (1359059034000).

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

488655085680 is a wasteful number, since it uses less digits than its factorization.

488655085680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 73728000, while the sum is 63.

The spelling of 488655085680 in words is "four hundred eighty-eight billion, six hundred fifty-five million, eighty-five thousand, six hundred eighty".