5565001005116 has 72 divisors (see below), whose sum is σ = 11545648523136. Its totient is φ = 2339770860000.

The previous prime is 5565001005103. The next prime is 5565001005121. The reversal of 5565001005116 is 6115001005655.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 871991 + ... + 3448241.

It is an arithmetic number, because the mean of its divisors is an integer number (160356229488).

Almost surely, 2^{5565001005116} 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 5565001005116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5772824261568).

5565001005116 is an abundant number, since it is smaller than the sum of its proper divisors (5980647518020).

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

5565001005116 is a wasteful number, since it uses less digits than its factorization.

5565001005116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576479 (or 2576470 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 5565001005116 in words is "five trillion, five hundred sixty-five billion, one million, five thousand, one hundred sixteen".