56101105101056 has 108 divisors (see below), whose sum is σ = 115736717671596. Its totient is φ = 27139885793280.

The previous prime is 56101105101047. The next prime is 56101105101061. The reversal of 56101105101056 is 65010150110165.

It can be written as a sum of positive squares in 2 ways, for example, as 37243972550656 + 18857132550400 = 6102784^2 + 4342480^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 11 ways as a sum of consecutive naturals, for example, 1287379940 + ... + 1287423516.

It is an arithmetic number, because the mean of its divisors is an integer number (1071636274737).

Almost surely, 2^{56101105101056} 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 56101105101056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57868358835798).

56101105101056 is an abundant number, since it is smaller than the sum of its proper divisors (59635612570540).

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

56101105101056 is an equidigital number, since it uses as much as digits as its factorization.

56101105101056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48888 (or 48843 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 32.

The spelling of 56101105101056 in words is "fifty-six trillion, one hundred one billion, one hundred five million, one hundred one thousand, fifty-six".