5055436800 has 720 divisors, whose sum is σ = 19907007120. Its totient is φ = 1265172480.

The previous prime is 5055436787. The next prime is 5055436831. The reversal of 5055436800 is 86345505.

5055436800 is a `hidden beast` number, since 50 + 5 + 543 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 59 ways as a sum of consecutive naturals, for example, 95385574 + ... + 95385626.

It is an arithmetic number, because the mean of its divisors is an integer number (27648621).

Almost surely, 2^5055436800 is an apocalyptic number.

5055436800 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 5055436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9953503560).

5055436800 is an abundant number, since it is smaller than the sum of its proper divisors (14851570320).

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

5055436800 is a wasteful number, since it uses less digits than its factorization.

5055436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5055436800 is about 71101.5949188202. The cubic root of 5055436800 is about 1716.2724395060.

The spelling of 5055436800 in words is "five billion, fifty-five million, four hundred thirty-six thousand, eight hundred".