486782170560 has 1344 divisors, whose sum is σ = 2141724748800. Its totient is φ = 101601091584.

The previous prime is 486782170513. The next prime is 486782170583. The reversal of 486782170560 is 65071287684.

486782170560 is a `hidden beast` number, since 4 + 8 + 6 + 7 + 8 + 2 + 1 + 70 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 = 486782170497 and 486782170506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4549366027 + ... + 4549366133.

It is an arithmetic number, because the mean of its divisors is an integer number (1593545200).

Almost surely, 2^486782170560 is an apocalyptic number.

486782170560 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 486782170560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070862374400).

486782170560 is an abundant number, since it is smaller than the sum of its proper divisors (1654942578240).

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

486782170560 is a wasteful number, since it uses less digits than its factorization.

486782170560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 486782170560 in words is "four hundred eighty-six billion, seven hundred eighty-two million, one hundred seventy thousand, five hundred sixty".