485601748807680 has 1664 divisors, whose sum is σ = 1838814653491200. Its totient is φ = 121360808411136.

The previous prime is 485601748807657. The next prime is 485601748807691. The reversal of 485601748807680 is 86708847106584.

485601748807680 is a `hidden beast` number, since 4 + 8 + 5 + 60 + 1 + 7 + 488 + 0 + 7 + 6 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 485601748807599 and 485601748807608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 115153364932 + ... + 115153369148.

Almost surely, 2^{485601748807680} is an apocalyptic number.

485601748807680 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 485601748807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919407326745600).

485601748807680 is an abundant number, since it is smaller than the sum of its proper divisors (1353212904683520).

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

485601748807680 is a wasteful number, since it uses less digits than its factorization.

485601748807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4494 (or 4466 counting only the distinct ones).

The product of its (nonzero) digits is 578027520, while the sum is 72.

The spelling of 485601748807680 in words is "four hundred eighty-five trillion, six hundred one billion, seven hundred forty-eight million, eight hundred seven thousand, six hundred eighty".