1005006110500 has 96 divisors (see below), whose sum is σ = 2656053953280. Its totient is φ = 324304473600.

The previous prime is 1005006110491. The next prime is 1005006110513. The reversal of 1005006110500 is 50116005001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8385930 + ... + 8504929.

It is an arithmetic number, because the mean of its divisors is an integer number (27667228680).

Almost surely, 2^{1005006110500} is an apocalyptic number.

1005006110500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005006110500 is an abundant number, since it is smaller than the sum of its proper divisors (1651047842780).

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

1005006110500 is a wasteful number, since it uses less digits than its factorization.

1005006110500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16890902 (or 16890890 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 1005006110500 in words is "one trillion, five billion, six million, one hundred ten thousand, five hundred".