55705505338560 has 448 divisors, whose sum is σ = 233477991889920. Its totient is φ = 10894277345280.

The previous prime is 55705505338559. The next prime is 55705505338619. The reversal of 55705505338560 is 6583350550755.

55705505338560 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 (448).

It is a self number, because there is not a number n which added to its sum of digits gives 55705505338560.

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, 20907825 + ... + 23421104.

Almost surely, 2^{55705505338560} is an apocalyptic number.

It is an amenable number.

55705505338560 is an abundant number, since it is smaller than the sum of its proper divisors (177772486551360).

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

55705505338560 is a wasteful number, since it uses less digits than its factorization.

55705505338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44328984 (or 44328974 counting only the distinct ones).

The product of its (nonzero) digits is 47250000, while the sum is 57.

It can be divided in two parts, 55705505 and 338560, that added together give a palindrome (56044065).

The spelling of 55705505338560 in words is "fifty-five trillion, seven hundred five billion, five hundred five million, three hundred thirty-eight thousand, five hundred sixty".