480489881911560 has 1792 divisors, whose sum is σ = 1904204593728000. Its totient is φ = 108222451384320.

The previous prime is 480489881911553. The next prime is 480489881911561. The reversal of 480489881911560 is 65119188984084.

480489881911560 is a `hidden beast` number, since 4 + 8 + 0 + 48 + 9 + 8 + 8 + 1 + 9 + 11 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (480489881911561) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 14476494565 + ... + 14476527755.

Almost surely, 2^{480489881911560} is an apocalyptic number.

480489881911560 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 480489881911560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952102296864000).

480489881911560 is an abundant number, since it is smaller than the sum of its proper divisors (1423714711816440).

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

480489881911560 is a wasteful number, since it uses less digits than its factorization.

480489881911560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33338 (or 33319 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 72.

The spelling of 480489881911560 in words is "four hundred eighty trillion, four hundred eighty-nine billion, eight hundred eighty-one million, nine hundred eleven thousand, five hundred sixty".