54512000 has 64 divisors (see below), whose sum is σ = 135570240. Its totient is φ = 21798400.

The previous prime is 54511999. The next prime is 54512011. The reversal of 54512000 is 21545.

54512000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 54512000.

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 7 ways as a sum of consecutive naturals, for example, 14297 + ... + 17703.

It is an arithmetic number, because the mean of its divisors is an integer number (2118285).

Almost surely, 2^54512000 is an apocalyptic number.

54512000 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 54512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67785120).

54512000 is an abundant number, since it is smaller than the sum of its proper divisors (81058240).

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

54512000 is an equidigital number, since it uses as much as digits as its factorization.

54512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 54512000 is about 7383.2242279373. The cubic root of 54512000 is about 379.1671510413.

Adding to 54512000 its reverse (21545), we get a palindrome (54533545).

The spelling of 54512000 in words is "fifty-four million, five hundred twelve thousand".