560010006100 has 72 divisors (see below), whose sum is σ = 1234136947680. Its totient is φ = 220521544320.

The previous prime is 560010006097. The next prime is 560010006109. The reversal of 560010006100 is 1600010065.

It is a super-2 number, since 2×560010006100² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (560010006109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10942371 + ... + 10993429.

It is an arithmetic number, because the mean of its divisors is an integer number (17140790940).

Almost surely, 2^560010006100 is an apocalyptic number.

560010006100 is a gapful number since it is divisible by the number (50) 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 560010006100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617068473840).

560010006100 is an abundant number, since it is smaller than the sum of its proper divisors (674126941580).

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

560010006100 is a wasteful number, since it uses less digits than its factorization.

560010006100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52777 (or 52770 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 560010006100 its reverse (1600010065), we get a palindrome (561610016165).

The spelling of 560010006100 in words is "five hundred sixty billion, ten million, six thousand, one hundred".