1005560460500 has 24 divisors (see below), whose sum is σ = 2196144046824. Its totient is φ = 402224184000.

The previous prime is 1005560460467. The next prime is 1005560460521. The reversal of 1005560460500 is 50640655001.

It can be written as a sum of positive squares in 4 ways, for example, as 184296772804 + 821263687696 = 429298^2 + 906236^2 .

It is a super-2 number, since 2×1005560460500² (a number of 25 digits) contains 22 as substring.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 1005559961 + ... + 1005560960.

It is an arithmetic number, because the mean of its divisors is an integer number (91506001951).

Almost surely, 2^{1005560460500} is an apocalyptic number.

1005560460500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005560460500 is an abundant number, since it is smaller than the sum of its proper divisors (1190583586324).

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

1005560460500 is a wasteful number, since it uses less digits than its factorization.

1005560460500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011120940 (or 2011120928 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 1005560460500 in words is "one trillion, five billion, five hundred sixty million, four hundred sixty thousand, five hundred".