55240204800 has 480 divisors, whose sum is σ = 209579800320. Its totient is φ = 12684902400.

The previous prime is 55240204771. The next prime is 55240204813. The reversal of 55240204800 is 840204255.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 8022159 + ... + 8029041.

It is an arithmetic number, because the mean of its divisors is an integer number (436624584).

Almost surely, 2^55240204800 is an apocalyptic number.

55240204800 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 55240204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104789900160).

55240204800 is an abundant number, since it is smaller than the sum of its proper divisors (154339595520).

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

55240204800 is a wasteful number, since it uses less digits than its factorization.

55240204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6944 (or 6923 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 55240204800 in words is "fifty-five billion, two hundred forty million, two hundred four thousand, eight hundred".