54322254400 has 42 divisors (see below), whose sum is σ = 133666701170. Its totient is φ = 21728901120.

The previous prime is 54322254391. The next prime is 54322254451. The reversal of 54322254400 is 445222345.

It can be written as a sum of positive squares in 3 ways, for example, as 279023616 + 54043230784 = 16704^2 + 232472^2 .

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 5 ways as a sum of consecutive naturals, for example, 16974105 + ... + 16977304.

Almost surely, 2^54322254400 is an apocalyptic number.

54322254400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54322254400 is an abundant number, since it is smaller than the sum of its proper divisors (79344446770).

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

54322254400 is a wasteful number, since it uses less digits than its factorization.

54322254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33951431 (or 33951416 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 31.

Adding to 54322254400 its reverse (445222345), we get a palindrome (54767476745).

The spelling of 54322254400 in words is "fifty-four billion, three hundred twenty-two million, two hundred fifty-four thousand, four hundred".