1005550000000 has 864 divisors, whose sum is σ = 3281131132560. Its totient is φ = 299520000000.

The previous prime is 1005549999967. The next prime is 1005550000043. The reversal of 1005550000000 is 555001.

It is a super-2 number, since 2×1005550000000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 59149999992 + ... + 59150000008.

Almost surely, 2^{1005550000000} is an apocalyptic number.

1005550000000 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 1005550000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640565566280).

1005550000000 is an abundant number, since it is smaller than the sum of its proper divisors (2275581132560).

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

1005550000000 is an frugal number, since it uses more digits than its factorization.

1005550000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 16.

Adding to 1005550000000 its reverse (555001), we get a palindrome (1005550555001).

The spelling of 1005550000000 in words is "one trillion, five billion, five hundred fifty million", and thus it is an aban number.