54510080 has 80 divisors (see below), whose sum is σ = 132580800. Its totient is φ = 21491712.

The previous prime is 54510067. The next prime is 54510089. The reversal of 54510080 is 8001545.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (54510089) 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 7 ways as a sum of consecutive naturals, for example, 273821 + ... + 274019.

It is an arithmetic number, because the mean of its divisors is an integer number (1657260).

Almost surely, 2^54510080 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 54510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66290400).

54510080 is an abundant number, since it is smaller than the sum of its proper divisors (78070720).

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

54510080 is a wasteful number, since it uses less digits than its factorization.

54510080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 54510080 is about 7383.0942022976. The cubic root of 54510080 is about 379.1626993641.

The spelling of 54510080 in words is "fifty-four million, five hundred ten thousand, eighty".