56005611006016 has 84 divisors (see below), whose sum is σ = 129314565450108. Its totient is φ = 23996137525248.

The previous prime is 56005611006013. The next prime is 56005611006041. The reversal of 56005611006016 is 61060011650065.

It can be written as a sum of positive squares in 2 ways, for example, as 8298409444416 + 47707201561600 = 2880696^2 + 6907040^2 .

It is not an unprimeable number, because it can be changed into a prime (56005611006013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9690660 + ... + 14349916.

Almost surely, 2^{56005611006016} is an apocalyptic number.

56005611006016 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 56005611006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64657282725054).

56005611006016 is an abundant number, since it is smaller than the sum of its proper divisors (73308954444092).

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

56005611006016 is a wasteful number, since it uses less digits than its factorization.

56005611006016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4663116 (or 4663099 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 56005611006016 in words is "fifty-six trillion, five billion, six hundred eleven million, six thousand, sixteen".