480565365253680 has 320 divisors, whose sum is σ = 1792244049039360. Its totient is φ = 104058765683712.

The previous prime is 480565365253679. The next prime is 480565365253691. The reversal of 480565365253680 is 86352563565084.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1009295827 + ... + 1009771853.

It is an arithmetic number, because the mean of its divisors is an integer number (5600762653248).

Almost surely, 2^{480565365253680} is an apocalyptic number.

480565365253680 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 480565365253680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896122024519680).

480565365253680 is an abundant number, since it is smaller than the sum of its proper divisors (1311678683785680).

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

480565365253680 is a wasteful number, since it uses less digits than its factorization.

480565365253680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507696 (or 507690 counting only the distinct ones).

The product of its (nonzero) digits is 622080000, while the sum is 66.

The spelling of 480565365253680 in words is "four hundred eighty trillion, five hundred sixty-five billion, three hundred sixty-five million, two hundred fifty-three thousand, six hundred eighty".