1005510560010 has 64 divisors (see below), whose sum is σ = 2634718320000. Its totient is φ = 243564871680.

The previous prime is 1005510559969. The next prime is 1005510560081. The reversal of 1005510560010 is 100650155001.

It is a super-2 number, since 2×1005510560010² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 807607 + ... + 1631946.

It is an arithmetic number, because the mean of its divisors is an integer number (41167473750).

Almost surely, 2^{1005510560010} is an apocalyptic number.

1005510560010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005510560010 is an abundant number, since it is smaller than the sum of its proper divisors (1629207759990).

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

1005510560010 is a wasteful number, since it uses less digits than its factorization.

1005510560010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440823.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 1005510560010 in words is "one trillion, five billion, five hundred ten million, five hundred sixty thousand, ten".