54589800 has 96 divisors (see below), whose sum is σ = 173872800. Its totient is φ = 14158080.

The previous prime is 54589789. The next prime is 54589813. The reversal of 54589800 is 898545.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20971 + ... + 23429.

It is an arithmetic number, because the mean of its divisors is an integer number (1811175).

Almost surely, 2^54589800 is an apocalyptic number.

54589800 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 54589800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86936400).

54589800 is an abundant number, since it is smaller than the sum of its proper divisors (119283000).

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

54589800 is a wasteful number, since it uses less digits than its factorization.

54589800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 54589800 is about 7388.4910502754. The cubic root of 54589800 is about 379.3474488450.

The spelling of 54589800 in words is "fifty-four million, five hundred eighty-nine thousand, eight hundred".