55005005505600 has 126 divisors (see below), whose sum is σ = 195500776911050. Its totient is φ = 14668001464320.

The previous prime is 55005005505551. The next prime is 55005005505679. The reversal of 55005005505600 is 650550050055.

55005005505600 is a `hidden beast` number, since 5 + 5 + 0 + 0 + 50 + 0 + 550 + 56 + 0 + 0 = 666.

55005005505600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 19169265705984 + 35835739799616 = 4378272^2 + 5986296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 1909881625 + ... + 1909910424.

Almost surely, 2^{55005005505600} is an apocalyptic number.

55005005505600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55005005505600 is an abundant number, since it is smaller than the sum of its proper divisors (140495771405450).

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

55005005505600 is a wasteful number, since it uses less digits than its factorization.

55005005505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819792077 (or 3819792059 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 36.

Adding to 55005005505600 its reverse (650550050055), we get a palindrome (55655555555655).

The spelling of 55005005505600 in words is "fifty-five trillion, five billion, five million, five hundred five thousand, six hundred".