485453813760 has 768 divisors, whose sum is σ = 1784253744000. Its totient is φ = 126701273088.

The previous prime is 485453813753. The next prime is 485453813773. The reversal of 485453813760 is 67318354584.

485453813760 is a `hidden beast` number, since 4 + 8 + 545 + 3 + 8 + 1 + 37 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 485453813697 and 485453813706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1186928436 + ... + 1186928844.

Almost surely, 2^485453813760 is an apocalyptic number.

485453813760 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 485453813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892126872000).

485453813760 is an abundant number, since it is smaller than the sum of its proper divisors (1298799930240).

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

485453813760 is an frugal number, since it uses more digits than its factorization.

485453813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 485453813760 in words is "four hundred eighty-five billion, four hundred fifty-three million, eight hundred thirteen thousand, seven hundred sixty".