54016000 has 96 divisors (see below), whose sum is σ = 135429840. Its totient is φ = 21504000.

The previous prime is 54015989. The next prime is 54016073. The reversal of 54016000 is 61045.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255895 + ... + 256105.

Almost surely, 2^54016000 is an apocalyptic number.

54016000 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 54016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67714920).

54016000 is an abundant number, since it is smaller than the sum of its proper divisors (81413840).

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

54016000 is an equidigital number, since it uses as much as digits as its factorization.

54016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 54016000 is about 7349.5578098277. The cubic root of 54016000 is about 378.0136422761.

Adding to 54016000 its reverse (61045), we get a palindrome (54077045).

The spelling of 54016000 in words is "fifty-four million, sixteen thousand".