54121600 has 96 divisors (see below), whose sum is σ = 144092340. Its totient is φ = 19968000.

The previous prime is 54121589. The next prime is 54121601. The reversal of 54121600 is 612145.

It can be written as a sum of positive squares in 6 ways, for example, as 304704 + 53816896 = 552^2 + 7336^2 .

It is not an unprimeable number, because it can be changed into a prime (54121601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40950 + ... + 42250.

Almost surely, 2^54121600 is an apocalyptic number.

54121600 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 54121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72046170).

54121600 is an abundant number, since it is smaller than the sum of its proper divisors (89970740).

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

54121600 is a wasteful number, since it uses less digits than its factorization.

54121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 54121600 is about 7356.7384077456. The cubic root of 54121600 is about 378.2598178276.

Adding to 54121600 its reverse (612145), we get a palindrome (54733745).

The spelling of 54121600 in words is "fifty-four million, one hundred twenty-one thousand, six hundred".