54589906800 has 720 divisors, whose sum is σ = 229606732800. Its totient is φ = 12211430400.

The previous prime is 54589906783. The next prime is 54589906823. The reversal of 54589906800 is 860998545.

It is a happy number.

54589906800 is a `hidden beast` number, since 54 + 589 + 9 + 0 + 6 + 8 + 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20075841 + ... + 20078559.

It is an arithmetic number, because the mean of its divisors is an integer number (318898240).

Almost surely, 2^54589906800 is an apocalyptic number.

54589906800 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 54589906800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114803366400).

54589906800 is an abundant number, since it is smaller than the sum of its proper divisors (175016826000).

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

54589906800 is a wasteful number, since it uses less digits than its factorization.

54589906800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

It can be divided in two parts, 545 and 89906800, that added together give a triangular number (89907345 = T₁₃₄₀₉).

The spelling of 54589906800 in words is "fifty-four billion, five hundred eighty-nine million, nine hundred six thousand, eight hundred".