54109824 has 128 divisors (see below), whose sum is σ = 153489600. Its totient is φ = 16859136.

The previous prime is 54109819. The next prime is 54109829. The reversal of 54109824 is 42890145.

It is an interprime number because it is at equal distance from previous prime (54109819) and next prime (54109829).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (54109829) 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 15 ways as a sum of consecutive naturals, for example, 478792 + ... + 478904.

Almost surely, 2^54109824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54109824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76744800).

54109824 is an abundant number, since it is smaller than the sum of its proper divisors (99379776).

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

54109824 is a wasteful number, since it uses less digits than its factorization.

54109824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 54109824 is about 7355.9380095267. The cubic root of 54109824 is about 378.2323813961.

Adding to 54109824 its reverse (42890145), we get a palindrome (96999969).

The spelling of 54109824 in words is "fifty-four million, one hundred nine thousand, eight hundred twenty-four".