482861554560 has 1440 divisors, whose sum is σ = 2206255673160. Its totient is φ = 100271001600.

The previous prime is 482861554519. The next prime is 482861554579. The reversal of 482861554560 is 65455168284.

482861554560 is a `hidden beast` number, since 4 + 8 + 2 + 86 + 1 + 554 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 482861554497 and 482861554506.

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 179 ways as a sum of consecutive naturals, for example, 307358575 + ... + 307360145.

Almost surely, 2^482861554560 is an apocalyptic number.

482861554560 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 482861554560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103127836580).

482861554560 is an abundant number, since it is smaller than the sum of its proper divisors (1723394118600).

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

482861554560 is a wasteful number, since it uses less digits than its factorization.

482861554560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 482861554560 in words is "four hundred eighty-two billion, eight hundred sixty-one million, five hundred fifty-four thousand, five hundred sixty".