54159600 has 180 divisors, whose sum is σ = 191208248. Its totient is φ = 13094400.

The previous prime is 54159583. The next prime is 54159613. The reversal of 54159600 is 695145.

54159600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145014 + ... + 145386.

Almost surely, 2^54159600 is an apocalyptic number.

54159600 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 54159600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95604124).

54159600 is an abundant number, since it is smaller than the sum of its proper divisors (137048648).

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

54159600 is a wasteful number, since it uses less digits than its factorization.

54159600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 54159600 is about 7359.3206208182. The cubic root of 54159600 is about 378.3483253755.

The spelling of 54159600 in words is "fifty-four million, one hundred fifty-nine thousand, six hundred".