54354103200 has 108 divisors (see below), whose sum is σ = 191666181798. Its totient is φ = 14494425600.

The previous prime is 54354103169. The next prime is 54354103231. The reversal of 54354103200 is 230145345.

54354103200 is a `hidden beast` number, since 5 + 4 + 354 + 103 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (54354103169) and next prime (54354103231).

It can be written as a sum of positive squares in 3 ways, for example, as 51967585296 + 2386517904 = 227964^2 + 48852^2 .

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 17 ways as a sum of consecutive naturals, for example, 3767391 + ... + 3781790.

Almost surely, 2^54354103200 is an apocalyptic number.

54354103200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54354103200 is an abundant number, since it is smaller than the sum of its proper divisors (137312078598).

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

54354103200 is a wasteful number, since it uses less digits than its factorization.

54354103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7549207 (or 7549191 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 54354103200 its reverse (230145345), we get a palindrome (54584248545).

The spelling of 54354103200 in words is "fifty-four billion, three hundred fifty-four million, one hundred three thousand, two hundred".