1005055610504 has 128 divisors (see below), whose sum is σ = 2126748441600. Its totient is φ = 441383712000.

The previous prime is 1005055610497. The next prime is 1005055610543. The reversal of 1005055610504 is 4050165505001.

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 31 ways as a sum of consecutive naturals, for example, 122013074 + ... + 122021310.

It is an arithmetic number, because the mean of its divisors is an integer number (16615222200).

Almost surely, 2^{1005055610504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005055610504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063374220800).

1005055610504 is an abundant number, since it is smaller than the sum of its proper divisors (1121692831096).

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

1005055610504 is a wasteful number, since it uses less digits than its factorization.

1005055610504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8715 (or 8711 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 32.

The spelling of 1005055610504 in words is "one trillion, five billion, fifty-five million, six hundred ten thousand, five hundred four".