481606789547520 has 2240 divisors, whose sum is σ = 2150461457907840. Its totient is φ = 100677634228224.

The previous prime is 481606789547461. The next prime is 481606789547593. The reversal of 481606789547520 is 25745987606184.

481606789547520 is a `hidden beast` number, since 4 + 8 + 1 + 6 + 0 + 6 + 7 + 8 + 95 + 4 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 18511221552 + ... + 18511247568.

It is an arithmetic number, because the mean of its divisors is an integer number (960027436566).

Almost surely, 2^{481606789547520} is an apocalyptic number.

481606789547520 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 481606789547520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075230728953920).

481606789547520 is an abundant number, since it is smaller than the sum of its proper divisors (1668854668360320).

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

481606789547520 is a wasteful number, since it uses less digits than its factorization.

481606789547520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26187 (or 26156 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 481606789547520 in words is "four hundred eighty-one trillion, six hundred six billion, seven hundred eighty-nine million, five hundred forty-seven thousand, five hundred twenty".