10005005556 has 144 divisors (see below), whose sum is σ = 31188253824. Its totient is φ = 2633465088.

The previous prime is 10005005537. The next prime is 10005005557. The reversal of 10005005556 is 65550050001.

10005005556 is a `hidden beast` number, since 100 + 0 + 5 + 0 + 0 + 5 + 556 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005005557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1821991 + ... + 1827473.

It is an arithmetic number, because the mean of its divisors is an integer number (216585096).

Almost surely, 2^10005005556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10005005556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15594126912).

10005005556 is an abundant number, since it is smaller than the sum of its proper divisors (21183248268).

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

10005005556 is a wasteful number, since it uses less digits than its factorization.

10005005556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6070 (or 6065 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

Adding to 10005005556 its reverse (65550050001), we get a palindrome (75555055557).

The spelling of 10005005556 in words is "ten billion, five million, five thousand, five hundred fifty-six".