55124178688800 has 1728 divisors, whose sum is σ = 224174616906240. Its totient is φ = 12626191319040.

The previous prime is 55124178688769. The next prime is 55124178688903. The reversal of 55124178688800 is 888687142155.

55124178688800 is a `hidden beast` number, since 5 + 512 + 41 + 78 + 6 + 8 + 8 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×55124178688800² (a number of 28 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 65702238781 + ... + 65702239619.

It is an arithmetic number, because the mean of its divisors is an integer number (129730681080).

Almost surely, 2^{55124178688800} is an apocalyptic number.

55124178688800 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 55124178688800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112087308453120).

55124178688800 is an abundant number, since it is smaller than the sum of its proper divisors (169050438217440).

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

55124178688800 is a wasteful number, since it uses less digits than its factorization.

55124178688800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 63.

The spelling of 55124178688800 in words is "fifty-five trillion, one hundred twenty-four billion, one hundred seventy-eight million, six hundred eighty-eight thousand, eight hundred".