486505582560 has 240 divisors, whose sum is σ = 1719618538176. Its totient is φ = 129533893632.

The previous prime is 486505582553. The next prime is 486505582583. The reversal of 486505582560 is 65285505684.

It is a happy number.

486505582560 is a `hidden beast` number, since 4 + 8 + 6 + 5 + 0 + 5 + 582 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 486505582497 and 486505582506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8434137 + ... + 8491623.

Almost surely, 2^486505582560 is an apocalyptic number.

486505582560 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 486505582560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859809269088).

486505582560 is an abundant number, since it is smaller than the sum of its proper divisors (1233112955616).

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

486505582560 is a wasteful number, since it uses less digits than its factorization.

486505582560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58167 (or 58150 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 486505582560 in words is "four hundred eighty-six billion, five hundred five million, five hundred eighty-two thousand, five hundred sixty".