485352431815680 has 4224 divisors, whose sum is σ = 2141941962940416. Its totient is φ = 99921376051200.

The previous prime is 485352431815613. The next prime is 485352431815747. The reversal of 485352431815680 is 86518134253584.

485352431815680 is a `hidden beast` number, since 4 + 8 + 5 + 3 + 52 + 4 + 3 + 18 + 1 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (485352431815613) and next prime (485352431815747).

It is a tau number, because it is divible by the number of its divisors (4224).

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, 434514262482 + ... + 434514263598.

Almost surely, 2^{485352431815680} is an apocalyptic number.

485352431815680 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 485352431815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070970981470208).

485352431815680 is an abundant number, since it is smaller than the sum of its proper divisors (1656589531124736).

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

485352431815680 is a wasteful number, since it uses less digits than its factorization.

485352431815680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 485352431815680 in words is "four hundred eighty-five trillion, three hundred fifty-two billion, four hundred thirty-one million, eight hundred fifteen thousand, six hundred eighty".