56005105016 has 64 divisors (see below), whose sum is σ = 121796213760. Its totient is φ = 23645664000.

The previous prime is 56005105007. The next prime is 56005105069. The reversal of 56005105016 is 61050150065.

It is a self number, because there is not a number n which added to its sum of digits gives 56005105016.

It is a congruent number.

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, 5883701 + ... + 5893211.

It is an arithmetic number, because the mean of its divisors is an integer number (1903065840).

Almost surely, 2^56005105016 is an apocalyptic number.

56005105016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56005105016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60898106880).

56005105016 is an abundant number, since it is smaller than the sum of its proper divisors (65791108744).

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

56005105016 is a wasteful number, since it uses less digits than its factorization.

56005105016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11076 (or 11072 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 56005105016 in words is "fifty-six billion, five million, one hundred five thousand, sixteen".