54988800 has 156 divisors (see below), whose sum is σ = 182823120. Its totient is φ = 14581760.

The previous prime is 54988763. The next prime is 54988847. The reversal of 54988800 is 888945.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307111 + ... + 307289.

Almost surely, 2^54988800 is an apocalyptic number.

54988800 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 54988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91411560).

54988800 is an abundant number, since it is smaller than the sum of its proper divisors (127834320).

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

54988800 is a wasteful number, since it uses less digits than its factorization.

54988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 54988800 is about 7415.4433448041. The cubic root of 54988800 is about 380.2694303434.

The spelling of 54988800 in words is "fifty-four million, nine hundred eighty-eight thousand, eight hundred".