488519710560 has 288 divisors, whose sum is σ = 1909768940352. Its totient is φ = 111395450880.

The previous prime is 488519710559. The next prime is 488519710589. The reversal of 488519710560 is 65017915884.

It is a happy number.

488519710560 is a `hidden beast` number, since 4 + 8 + 8 + 5 + 1 + 9 + 71 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 488519710497 and 488519710506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4186122 + ... + 4301238.

It is an arithmetic number, because the mean of its divisors is an integer number (6631142154).

Almost surely, 2^488519710560 is an apocalyptic number.

488519710560 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 488519710560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954884470176).

488519710560 is an abundant number, since it is smaller than the sum of its proper divisors (1421249229792).

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

488519710560 is a wasteful number, since it uses less digits than its factorization.

488519710560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115566 (or 115555 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 488519710560 in words is "four hundred eighty-eight billion, five hundred nineteen million, seven hundred ten thousand, five hundred sixty".