1485563304960 has 1056 divisors, whose sum is σ = 6054687999360. Its totient is φ = 329772957696.

The previous prime is 1485563304919. The next prime is 1485563304977. The reversal of 1485563304960 is 694033655841.

1485563304960 is a `hidden beast` number, since 1 + 4 + 8 + 5 + 563 + 30 + 49 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1485563304897 and 1485563304906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1931811456 + ... + 1931812224.

It is an arithmetic number, because the mean of its divisors is an integer number (5733606060).

Almost surely, 2^{1485563304960} is an apocalyptic number.

1485563304960 is a gapful number since it is divisible by the number (10) 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 1485563304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027343999680).

1485563304960 is an abundant number, since it is smaller than the sum of its proper divisors (4569124694400).

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

1485563304960 is a wasteful number, since it uses less digits than its factorization.

1485563304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 1485563304960 in words is "one trillion, four hundred eighty-five billion, five hundred sixty-three million, three hundred four thousand, nine hundred sixty".