55608508800 has 576 divisors, whose sum is σ = 221641907760. Its totient is φ = 13685760000.

The previous prime is 55608508793. The next prime is 55608508817. The reversal of 55608508800 is 880580655.

55608508800 is a `hidden beast` number, since 5 + 5 + 60 + 8 + 508 + 80 + 0 = 666.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10106050 + ... + 10111550.

Almost surely, 2^55608508800 is an apocalyptic number.

55608508800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55608508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110820953880).

55608508800 is an abundant number, since it is smaller than the sum of its proper divisors (166033398960).

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

55608508800 is a wasteful number, since it uses less digits than its factorization.

55608508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5553 (or 5524 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 55608508800 in words is "fifty-five billion, six hundred eight million, five hundred eight thousand, eight hundred".