56505560055552 has 576 divisors, whose sum is σ = 182828336947200. Its totient is φ = 17137079746560.

The previous prime is 56505560055499. The next prime is 56505560055619. The reversal of 56505560055552 is 25555006550565.

56505560055552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 3631688349 + ... + 3631703907.

It is an arithmetic number, because the mean of its divisors is an integer number (317410307200).

Almost surely, 2^{56505560055552} 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 56505560055552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91414168473600).

56505560055552 is an abundant number, since it is smaller than the sum of its proper divisors (126322776891648).

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

56505560055552 is a wasteful number, since it uses less digits than its factorization.

56505560055552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16629 (or 16609 counting only the distinct ones).

The product of its (nonzero) digits is 28125000, while the sum is 54.

The spelling of 56505560055552 in words is "fifty-six trillion, five hundred five billion, five hundred sixty million, fifty-five thousand, five hundred fifty-two".