54322216000 has 448 divisors, whose sum is σ = 156834961920. Its totient is φ = 18463334400.

The previous prime is 54322215949. The next prime is 54322216001. The reversal of 54322216000 is 61222345.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (54322216001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73111629 + ... + 73112371.

It is an arithmetic number, because the mean of its divisors is an integer number (350078040).

Almost surely, 2^54322216000 is an apocalyptic number.

54322216000 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 54322216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78417480960).

54322216000 is an abundant number, since it is smaller than the sum of its proper divisors (102512745920).

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

54322216000 is a wasteful number, since it uses less digits than its factorization.

54322216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 54322216000 its reverse (61222345), we get a palindrome (54383438345).

The spelling of 54322216000 in words is "fifty-four billion, three hundred twenty-two million, two hundred sixteen thousand".