55588048588800 has 4368 divisors, whose sum is σ = 261105542342400. Its totient is φ = 11658237050880.

The previous prime is 55588048588771. The next prime is 55588048588859. The reversal of 55588048588800 is 888584088555.

It is a tau number, because it is divible by the number of its divisors (4368).

It is a super-2 number, since 2×55588048588800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 332862566317 + ... + 332862566483.

Almost surely, 2^{55588048588800} is an apocalyptic number.

55588048588800 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 55588048588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130552771171200).

55588048588800 is an abundant number, since it is smaller than the sum of its proper divisors (205517493753600).

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

55588048588800 is an equidigital number, since it uses as much as digits as its factorization.

55588048588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 655360000, while the sum is 72.

The spelling of 55588048588800 in words is "fifty-five trillion, five hundred eighty-eight billion, forty-eight million, five hundred eighty-eight thousand, eight hundred".