56106105536512 has 64 divisors (see below), whose sum is σ = 112243147142400. Its totient is φ = 28044890603520.

The previous prime is 56106105536497. The next prime is 56106105536599. The reversal of 56106105536512 is 21563550160165.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×56106105536512³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113162689 + ... + 113657407.

It is an arithmetic number, because the mean of its divisors is an integer number (1753799174100).

Almost surely, 2^{56106105536512} 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 56106105536512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56121573571200).

56106105536512 is an abundant number, since it is smaller than the sum of its proper divisors (56137041605888).

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

56106105536512 is an frugal number, since it uses more digits than its factorization.

56106105536512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498210 (or 498182 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 46.

Adding to 56106105536512 its reverse (21563550160165), we get a palindrome (77669655696677).

The spelling of 56106105536512 in words is "fifty-six trillion, one hundred six billion, one hundred five million, five hundred thirty-six thousand, five hundred twelve".