54912000 has 352 divisors, whose sum is σ = 214591104. Its totient is φ = 12288000.

The previous prime is 54911963. The next prime is 54912001. The reversal of 54912000 is 21945.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54912001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4223994 + ... + 4224006.

Almost surely, 2^54912000 is an apocalyptic number.

54912000 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 54912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107295552).

54912000 is an abundant number, since it is smaller than the sum of its proper divisors (159679104).

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

54912000 is a wasteful number, since it uses less digits than its factorization.

54912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 54912000 is about 7410.2631532220. The cubic root of 54912000 is about 380.0923136758.

Adding to 54912000 its reverse (21945), we get a palindrome (54933945).

The spelling of 54912000 in words is "fifty-four million, nine hundred twelve thousand".