10005110000556 has 48 divisors (see below), whose sum is σ = 25486102027008. Its totient is φ = 3029643265600.

The previous prime is 10005110000537. The next prime is 10005110000581. The reversal of 10005110000556 is 65500001150001.

10005110000556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10005110000556² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27421200 + ... + 27783671.

It is an arithmetic number, because the mean of its divisors is an integer number (530960458896).

Almost surely, 2^{10005110000556} is an apocalyptic number.

It is an amenable number.

10005110000556 is an abundant number, since it is smaller than the sum of its proper divisors (15480992026452).

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

10005110000556 is a wasteful number, since it uses less digits than its factorization.

10005110000556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55206262 (or 55206260 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 10005110000556 its reverse (65500001150001), we get a palindrome (75505111150557).

The spelling of 10005110000556 in words is "ten trillion, five billion, one hundred ten million, five hundred fifty-six", and thus it is an aban number.