1000505056000 has 72 divisors (see below), whose sum is σ = 2492383237344. Its totient is φ = 400202009600.

The previous prime is 1000505055863. The next prime is 1000505056003. The reversal of 1000505056000 is 6505050001.

It is not an unprimeable number, because it can be changed into a prime (1000505056003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15600892 + ... + 15664891.

It is an arithmetic number, because the mean of its divisors is an integer number (34616433852).

Almost surely, 2^{1000505056000} is an apocalyptic number.

1000505056000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000505056000 is an abundant number, since it is smaller than the sum of its proper divisors (1491878181344).

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

1000505056000 is an frugal number, since it uses more digits than its factorization.

1000505056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31265814 (or 31265790 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The spelling of 1000505056000 in words is "one trillion, five hundred five million, fifty-six thousand".