54011600 has 30 divisors (see below), whose sum is σ = 129763830. Its totient is φ = 21604480.

The previous prime is 54011599. The next prime is 54011603. The reversal of 54011600 is 611045.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 18496 + 53993104 = 136^2 + 7348^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54011603) 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 5 ways as a sum of consecutive naturals, for example, 67115 + ... + 67914.

It is an arithmetic number, because the mean of its divisors is an integer number (4325461).

Almost surely, 2^54011600 is an apocalyptic number.

54011600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54011600 is an abundant number, since it is smaller than the sum of its proper divisors (75752230).

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

54011600 is a wasteful number, since it uses less digits than its factorization.

54011600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135047 (or 135036 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 54011600 is about 7349.2584659951. The cubic root of 54011600 is about 378.0033780014.

Adding to 54011600 its reverse (611045), we get a palindrome (54622645).

The spelling of 54011600 in words is "fifty-four million, eleven thousand, six hundred".