54788160 has 224 divisors, whose sum is σ = 205996032. Its totient is φ = 12072960.

The previous prime is 54788147. The next prime is 54788213. The reversal of 54788160 is 6188745.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208189 + ... + 208451.

Almost surely, 2^54788160 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 54788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102998016).

54788160 is an abundant number, since it is smaller than the sum of its proper divisors (151207872).

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

54788160 is a wasteful number, since it uses less digits than its factorization.

54788160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 54788160 is about 7401.9024581522. The cubic root of 54788160 is about 379.8063648741.

The spelling of 54788160 in words is "fifty-four million, seven hundred eighty-eight thousand, one hundred sixty".