55824164800 has 504 divisors, whose sum is σ = 158382675360. Its totient is φ = 19301990400.

The previous prime is 55824164797. The next prime is 55824164821. The reversal of 55824164800 is 846142855.

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 71 ways as a sum of consecutive naturals, for example, 308420710 + ... + 308420890.

It is an arithmetic number, because the mean of its divisors is an integer number (314251340).

Almost surely, 2^55824164800 is an apocalyptic number.

55824164800 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 55824164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79191337680).

55824164800 is an abundant number, since it is smaller than the sum of its proper divisors (102558510560).

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

55824164800 is a wasteful number, since it uses less digits than its factorization.

55824164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 43.

The spelling of 55824164800 in words is "fifty-five billion, eight hundred twenty-four million, one hundred sixty-four thousand, eight hundred".