10005556000506 has 32 divisors (see below), whose sum is σ = 21837697011648. Its totient is φ = 3030959859840.

The previous prime is 10005556000487. The next prime is 10005556000513. The reversal of 10005556000506 is 60500065550001.

It is a super-2 number, since 2×10005556000506² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 25473801 + ... + 25863596.

It is an arithmetic number, because the mean of its divisors is an integer number (682428031614).

Almost surely, 2^{10005556000506} is an apocalyptic number.

10005556000506 is an abundant number, since it is smaller than the sum of its proper divisors (11832141011142).

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

10005556000506 is a wasteful number, since it uses less digits than its factorization.

10005556000506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51340366.

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 10005556000506 in words is "ten trillion, five billion, five hundred fifty-six million, five hundred six", and thus it is an aban number.