54401352400 has 60 divisors (see below), whose sum is σ = 130756254700. Its totient is φ = 21751050240.

The previous prime is 54401352289. The next prime is 54401352403. The reversal of 54401352400 is 425310445.

It can be written as a sum of positive squares in 6 ways, for example, as 18799700544 + 35601651856 = 137112^2 + 188684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54401352403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 927136 + ... + 984064.

Almost surely, 2^54401352400 is an apocalyptic number.

54401352400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54401352400 is an abundant number, since it is smaller than the sum of its proper divisors (76354902300).

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

54401352400 is a wasteful number, since it uses less digits than its factorization.

54401352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59336 (or 59325 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 54401352400 its reverse (425310445), we get a palindrome (54826662845).

The spelling of 54401352400 in words is "fifty-four billion, four hundred one million, three hundred fifty-two thousand, four hundred".