54459216000 has 1792 divisors, whose sum is σ = 250442150400. Its totient is φ = 11496038400.

The previous prime is 54459215999. The next prime is 54459216043. The reversal of 54459216000 is 61295445.

54459216000 is a `hidden beast` number, since 5 + 4 + 4 + 592 + 1 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 223 ways as a sum of consecutive naturals, for example, 1877903986 + ... + 1877904014.

Almost surely, 2^54459216000 is an apocalyptic number.

54459216000 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 54459216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125221075200).

54459216000 is an abundant number, since it is smaller than the sum of its proper divisors (195982934400).

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

54459216000 is an equidigital number, since it uses as much as digits as its factorization.

54459216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 54459216000 in words is "fifty-four billion, four hundred fifty-nine million, two hundred sixteen thousand".