54478310400 has 528 divisors, whose sum is σ = 201488666400. Its totient is φ = 14424145920.

The previous prime is 54478310377. The next prime is 54478310401. The reversal of 54478310400 is 401387445.

54478310400 is a `hidden beast` number, since 544 + 7 + 8 + 3 + 104 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (54478310401) by changing a digit.

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, 185932654 + ... + 185932946.

Almost surely, 2^54478310400 is an apocalyptic number.

54478310400 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 54478310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100744333200).

54478310400 is an abundant number, since it is smaller than the sum of its proper divisors (147010356000).

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

54478310400 is a wasteful number, since it uses less digits than its factorization.

54478310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 54478310400 its reverse (401387445), we get a palindrome (54879697845).

The spelling of 54478310400 in words is "fifty-four billion, four hundred seventy-eight million, three hundred ten thousand, four hundred".