54304808400 has 480 divisors, whose sum is σ = 202455792000. Its totient is φ = 13806858240.

The previous prime is 54304808377. The next prime is 54304808401. The reversal of 54304808400 is 480840345.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54304808401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25994556 + ... + 25996644.

It is an arithmetic number, because the mean of its divisors is an integer number (421782900).

Almost surely, 2^54304808400 is an apocalyptic number.

54304808400 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 54304808400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101227896000).

54304808400 is an abundant number, since it is smaller than the sum of its proper divisors (148150983600).

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

54304808400 is a wasteful number, since it uses less digits than its factorization.

54304808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 54304808400 in words is "fifty-four billion, three hundred four million, eight hundred eight thousand, four hundred".