10005000060560 has 20 divisors (see below), whose sum is σ = 23261625140988. Its totient is φ = 4002000024192.

The previous prime is 10005000060553. The next prime is 10005000060563. The reversal of 10005000060560 is 6506000050001.

10005000060560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1506049292944 + 8498950767616 = 1227212^2 + 2915296^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (10005000060563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62531250299 + ... + 62531250458.

Almost surely, 2^{10005000060560} is an apocalyptic number.

10005000060560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005000060560 is an abundant number, since it is smaller than the sum of its proper divisors (13256625080428).

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

10005000060560 is a wasteful number, since it uses less digits than its factorization.

10005000060560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125062500770 (or 125062500764 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The spelling of 10005000060560 in words is "ten trillion, five billion, sixty thousand, five hundred sixty".