1005444205560 has 64 divisors (see below), whose sum is σ = 3351480688800. Its totient is φ = 268118454528.

The previous prime is 1005444205559. The next prime is 1005444205573. The reversal of 1005444205560 is 655024445001.

1005444205560 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 444 + 205 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 465482349 + ... + 465484508.

Almost surely, 2^{1005444205560} is an apocalyptic number.

1005444205560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005444205560 is an abundant number, since it is smaller than the sum of its proper divisors (2346036483240).

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

1005444205560 is a wasteful number, since it uses less digits than its factorization.

1005444205560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930966877 (or 930966867 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 1005444205560 in words is "one trillion, five billion, four hundred forty-four million, two hundred five thousand, five hundred sixty".