482387845201920 has 5760 divisors, whose sum is σ = 2176435099238400. Its totient is φ = 102255380398080.

The previous prime is 482387845201837. The next prime is 482387845201939. The reversal of 482387845201920 is 29102548783284.

482387845201920 is a `hidden beast` number, since 4 + 8 + 2 + 3 + 8 + 7 + 84 + 520 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9101657456614 + ... + 9101657456666.

It is an arithmetic number, because the mean of its divisors is an integer number (377853315840).

Almost surely, 2^{482387845201920} is an apocalyptic number.

482387845201920 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 482387845201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088217549619200).

482387845201920 is an abundant number, since it is smaller than the sum of its proper divisors (1694047254036480).

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

482387845201920 is an frugal number, since it uses more digits than its factorization.

482387845201920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 482387845201920 in words is "four hundred eighty-two trillion, three hundred eighty-seven billion, eight hundred forty-five million, two hundred one thousand, nine hundred twenty".