54306478800 has 360 divisors, whose sum is σ = 222811155840. Its totient is φ = 11984716800.

The previous prime is 54306478789. The next prime is 54306478843. The reversal of 54306478800 is 887460345.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 693645 + ... + 767955.

Almost surely, 2^54306478800 is an apocalyptic number.

54306478800 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 54306478800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111405577920).

54306478800 is an abundant number, since it is smaller than the sum of its proper divisors (168504677040).

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

54306478800 is a wasteful number, since it uses less digits than its factorization.

54306478800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74371 (or 74357 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 54306478800 in words is "fifty-four billion, three hundred six million, four hundred seventy-eight thousand, eight hundred".