10000506005600 has 72 divisors (see below), whose sum is σ = 26633165790168. Its totient is φ = 3636547635200.

The previous prime is 10000506005599. The next prime is 10000506005617. The reversal of 10000506005600 is 650060500001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 568201769 + ... + 568219368.

It is an arithmetic number, because the mean of its divisors is an integer number (369905080419).

Almost surely, 2^{10000506005600} is an apocalyptic number.

10000506005600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000506005600 is an abundant number, since it is smaller than the sum of its proper divisors (16632659784568).

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

10000506005600 is a wasteful number, since it uses less digits than its factorization.

10000506005600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136421168 (or 1136421155 counting only the distinct ones).

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

Adding to 10000506005600 its reverse (650060500001), we get a palindrome (10650566505601).

The spelling of 10000506005600 in words is "ten trillion, five hundred six million, five thousand, six hundred".